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Finding the Fourth Proportional to 10,491.40, 15,758.97 and 6,117.40

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Solution

The fourth proportional to 10,491.40, 15,758.97 and 6,117.40 is: 9,188.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,491.40 : 15,758.97 = 6,117.40 : x
  2. Step 2: Convert to fraction form
    10,491.40/15,758.97 = 6,117.40/x
  3. Step 3: Cross multiply
    10,491.40x = 15,758.97 × 6,117.40
  4. Step 4: Simplify right side
    10,491.40x = 96,403,923.08
  5. Step 5: Solve for x
    x = 96,403,923.08/10,491.40
  6. Step 6: Final answer
    x = 9,188.85

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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.