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Finding the Fourth Proportional to 47,599, 65,687 and 26,378.62

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Solution

The fourth proportional to 47,599, 65,687 and 26,378.62 is: 36,402.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,599 : 65,687 = 26,378.62 : x
  2. Step 2: Convert to fraction form
    47,599/65,687 = 26,378.62/x
  3. Step 3: Cross multiply
    47,599x = 65,687 × 26,378.62
  4. Step 4: Simplify right side
    47,599x = 1,732,732,411.94
  5. Step 5: Solve for x
    x = 1,732,732,411.94/47,599
  6. Step 6: Final answer
    x = 36,402.71

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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.