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Finding the Fourth Proportional to 10,155.57, 15,229 and 3,492.74

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Solution

The fourth proportional to 10,155.57, 15,229 and 3,492.74 is: 5,237.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,155.57 : 15,229 = 3,492.74 : x
  2. Step 2: Convert to fraction form
    10,155.57/15,229 = 3,492.74/x
  3. Step 3: Cross multiply
    10,155.57x = 15,229 × 3,492.74
  4. Step 4: Simplify right side
    10,155.57x = 53,190,937.46
  5. Step 5: Solve for x
    x = 53,190,937.46/10,155.57
  6. Step 6: Final answer
    x = 5,237.61

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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.