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Finding the Fourth Proportional to 10,507.74, 15,769.31 and 5,578.35

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Solution

The fourth proportional to 10,507.74, 15,769.31 and 5,578.35 is: 8,371.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,507.74 : 15,769.31 = 5,578.35 : x
  2. Step 2: Convert to fraction form
    10,507.74/15,769.31 = 5,578.35/x
  3. Step 3: Cross multiply
    10,507.74x = 15,769.31 × 5,578.35
  4. Step 4: Simplify right side
    10,507.74x = 87,966,702.55
  5. Step 5: Solve for x
    x = 87,966,702.55/10,507.74
  6. Step 6: Final answer
    x = 8,371.61

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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.