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Finding the Fourth Proportional to 8,764.90, 13,136.47 and 7,715.14

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Solution

The fourth proportional to 8,764.90, 13,136.47 and 7,715.14 is: 11,563.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,764.90 : 13,136.47 = 7,715.14 : x
  2. Step 2: Convert to fraction form
    8,764.90/13,136.47 = 7,715.14/x
  3. Step 3: Cross multiply
    8,764.90x = 13,136.47 × 7,715.14
  4. Step 4: Simplify right side
    8,764.90x = 101,349,705.16
  5. Step 5: Solve for x
    x = 101,349,705.16/8,764.90
  6. Step 6: Final answer
    x = 11,563.13

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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.