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Finding the Fourth Proportional to 43,730, 65,606.10 and 12,565.28

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Solution

The fourth proportional to 43,730, 65,606.10 and 12,565.28 is: 18,851.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,730 : 65,606.10 = 12,565.28 : x
  2. Step 2: Convert to fraction form
    43,730/65,606.10 = 12,565.28/x
  3. Step 3: Cross multiply
    43,730x = 65,606.10 × 12,565.28
  4. Step 4: Simplify right side
    43,730x = 824,359,016.21
  5. Step 5: Solve for x
    x = 824,359,016.21/43,730
  6. Step 6: Final answer
    x = 18,851.11

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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.