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Finding the Fourth Proportional to 2,454.40, 3,681.59 and 994.58

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Solution

The fourth proportional to 2,454.40, 3,681.59 and 994.58 is: 1,491.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,454.40 : 3,681.59 = 994.58 : x
  2. Step 2: Convert to fraction form
    2,454.40/3,681.59 = 994.58/x
  3. Step 3: Cross multiply
    2,454.40x = 3,681.59 × 994.58
  4. Step 4: Simplify right side
    2,454.40x = 3,661,635.78
  5. Step 5: Solve for x
    x = 3,661,635.78/2,454.40
  6. Step 6: Final answer
    x = 1,491.87

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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.