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Finding the Fourth Proportional to 22,565, 31,139.70 and 12,629

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Solution

The fourth proportional to 22,565, 31,139.70 and 12,629 is: 17,428.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,565 : 31,139.70 = 12,629 : x
  2. Step 2: Convert to fraction form
    22,565/31,139.70 = 12,629/x
  3. Step 3: Cross multiply
    22,565x = 31,139.70 × 12,629
  4. Step 4: Simplify right side
    22,565x = 393,263,271.30
  5. Step 5: Solve for x
    x = 393,263,271.30/22,565
  6. Step 6: Final answer
    x = 17,428.02

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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.