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Finding the Fourth Proportional to 10,076.65, 15,115.43 and 3,502.89

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Solution

The fourth proportional to 10,076.65, 15,115.43 and 3,502.89 is: 5,254.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,076.65 : 15,115.43 = 3,502.89 : x
  2. Step 2: Convert to fraction form
    10,076.65/15,115.43 = 3,502.89/x
  3. Step 3: Cross multiply
    10,076.65x = 15,115.43 × 3,502.89
  4. Step 4: Simplify right side
    10,076.65x = 52,947,671.08
  5. Step 5: Solve for x
    x = 52,947,671.08/10,076.65
  6. Step 6: Final answer
    x = 5,254.49

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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.