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Finding the Fourth Proportional to 3,498.76, 4,823.12 and 2,239.68

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Solution

The fourth proportional to 3,498.76, 4,823.12 and 2,239.68 is: 3,087.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,498.76 : 4,823.12 = 2,239.68 : x
  2. Step 2: Convert to fraction form
    3,498.76/4,823.12 = 2,239.68/x
  3. Step 3: Cross multiply
    3,498.76x = 4,823.12 × 2,239.68
  4. Step 4: Simplify right side
    3,498.76x = 10,802,245.40
  5. Step 5: Solve for x
    x = 10,802,245.40/3,498.76
  6. Step 6: Final answer
    x = 3,087.45

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.