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Finding the Fourth Proportional to 11,502, 15,866.28 and 7,522.20

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Solution

The fourth proportional to 11,502, 15,866.28 and 7,522.20 is: 10,376.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,502 : 15,866.28 = 7,522.20 : x
  2. Step 2: Convert to fraction form
    11,502/15,866.28 = 7,522.20/x
  3. Step 3: Cross multiply
    11,502x = 15,866.28 × 7,522.20
  4. Step 4: Simplify right side
    11,502x = 119,349,331.42
  5. Step 5: Solve for x
    x = 119,349,331.42/11,502
  6. Step 6: Final answer
    x = 10,376.40

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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.