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Finding the Fourth Proportional to 15,577.40, 23,364 and 5,715.38

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Solution

The fourth proportional to 15,577.40, 23,364 and 5,715.38 is: 8,572.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,577.40 : 23,364 = 5,715.38 : x
  2. Step 2: Convert to fraction form
    15,577.40/23,364 = 5,715.38/x
  3. Step 3: Cross multiply
    15,577.40x = 23,364 × 5,715.38
  4. Step 4: Simplify right side
    15,577.40x = 133,534,021.50
  5. Step 5: Solve for x
    x = 133,534,021.50/15,577.40
  6. Step 6: Final answer
    x = 8,572.29

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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.