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Finding the Fourth Proportional to 13,538.92, 20,310 and 4,772.02

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Solution

The fourth proportional to 13,538.92, 20,310 and 4,772.02 is: 7,158.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,538.92 : 20,310 = 4,772.02 : x
  2. Step 2: Convert to fraction form
    13,538.92/20,310 = 4,772.02/x
  3. Step 3: Cross multiply
    13,538.92x = 20,310 × 4,772.02
  4. Step 4: Simplify right side
    13,538.92x = 96,919,726.20
  5. Step 5: Solve for x
    x = 96,919,726.20/13,538.92
  6. Step 6: Final answer
    x = 7,158.60

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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.