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Finding the Fourth Proportional to 26,427, 39,612.57 and 9,776.34

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Solution

The fourth proportional to 26,427, 39,612.57 and 9,776.34 is: 14,654.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,427 : 39,612.57 = 9,776.34 : x
  2. Step 2: Convert to fraction form
    26,427/39,612.57 = 9,776.34/x
  3. Step 3: Cross multiply
    26,427x = 39,612.57 × 9,776.34
  4. Step 4: Simplify right side
    26,427x = 387,265,952.59
  5. Step 5: Solve for x
    x = 387,265,952.59/26,427
  6. Step 6: Final answer
    x = 14,654.18

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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.