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Finding the Fourth Proportional to 22,702.79, 31,312.10 and 14,747.58

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Solution

The fourth proportional to 22,702.79, 31,312.10 and 14,747.58 is: 20,340.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,702.79 : 31,312.10 = 14,747.58 : x
  2. Step 2: Convert to fraction form
    22,702.79/31,312.10 = 14,747.58/x
  3. Step 3: Cross multiply
    22,702.79x = 31,312.10 × 14,747.58
  4. Step 4: Simplify right side
    22,702.79x = 461,777,699.72
  5. Step 5: Solve for x
    x = 461,777,699.72/22,702.79
  6. Step 6: Final answer
    x = 20,340.13

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