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Finding the Fourth Proportional to 15,178.49, 22,774.77 and 5,815.38

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Solution

The fourth proportional to 15,178.49, 22,774.77 and 5,815.38 is: 8,725.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,178.49 : 22,774.77 = 5,815.38 : x
  2. Step 2: Convert to fraction form
    15,178.49/22,774.77 = 5,815.38/x
  3. Step 3: Cross multiply
    15,178.49x = 22,774.77 × 5,815.38
  4. Step 4: Simplify right side
    15,178.49x = 132,443,941.96
  5. Step 5: Solve for x
    x = 132,443,941.96/15,178.49
  6. Step 6: Final answer
    x = 8,725.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.