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Finding the Fourth Proportional to 10,870, 15,001.56 and 6,089.86

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Solution

The fourth proportional to 10,870, 15,001.56 and 6,089.86 is: 8,404.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,870 : 15,001.56 = 6,089.86 : x
  2. Step 2: Convert to fraction form
    10,870/15,001.56 = 6,089.86/x
  3. Step 3: Cross multiply
    10,870x = 15,001.56 × 6,089.86
  4. Step 4: Simplify right side
    10,870x = 91,357,400.18
  5. Step 5: Solve for x
    x = 91,357,400.18/10,870
  6. Step 6: Final answer
    x = 8,404.54

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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.