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Finding the Fourth Proportional to 10,491.66, 15,747.21 and 5,301.18

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Solution

The fourth proportional to 10,491.66, 15,747.21 and 5,301.18 is: 7,956.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,491.66 : 15,747.21 = 5,301.18 : x
  2. Step 2: Convert to fraction form
    10,491.66/15,747.21 = 5,301.18/x
  3. Step 3: Cross multiply
    10,491.66x = 15,747.21 × 5,301.18
  4. Step 4: Simplify right side
    10,491.66x = 83,478,794.71
  5. Step 5: Solve for x
    x = 83,478,794.71/10,491.66
  6. Step 6: Final answer
    x = 7,956.68

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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.