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Finding the Fourth Proportional to 2,558.19, 3,836.72 and 998.24

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Solution

The fourth proportional to 2,558.19, 3,836.72 and 998.24 is: 1,497.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,558.19 : 3,836.72 = 998.24 : x
  2. Step 2: Convert to fraction form
    2,558.19/3,836.72 = 998.24/x
  3. Step 3: Cross multiply
    2,558.19x = 3,836.72 × 998.24
  4. Step 4: Simplify right side
    2,558.19x = 3,829,943.20
  5. Step 5: Solve for x
    x = 3,829,943.20/2,558.19
  6. Step 6: Final answer
    x = 1,497.13

Related Problems

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.