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Finding the Fourth Proportional to 10,877, 15,010.26 and 6,461

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Solution

The fourth proportional to 10,877, 15,010.26 and 6,461 is: 8,916.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,877 : 15,010.26 = 6,461 : x
  2. Step 2: Convert to fraction form
    10,877/15,010.26 = 6,461/x
  3. Step 3: Cross multiply
    10,877x = 15,010.26 × 6,461
  4. Step 4: Simplify right side
    10,877x = 96,981,289.86
  5. Step 5: Solve for x
    x = 96,981,289.86/10,877
  6. Step 6: Final answer
    x = 8,916.18

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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.