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Finding the Fourth Proportional to 11,617.32, 16,031.87 and 6,312.16

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Solution

The fourth proportional to 11,617.32, 16,031.87 and 6,312.16 is: 8,710.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,617.32 : 16,031.87 = 6,312.16 : x
  2. Step 2: Convert to fraction form
    11,617.32/16,031.87 = 6,312.16/x
  3. Step 3: Cross multiply
    11,617.32x = 16,031.87 × 6,312.16
  4. Step 4: Simplify right side
    11,617.32x = 101,195,648.38
  5. Step 5: Solve for x
    x = 101,195,648.38/11,617.32
  6. Step 6: Final answer
    x = 8,710.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.