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Finding the Fourth Proportional to 11,347.25, 15,658.92 and 6,311.48

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Solution

The fourth proportional to 11,347.25, 15,658.92 and 6,311.48 is: 8,709.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,347.25 : 15,658.92 = 6,311.48 : x
  2. Step 2: Convert to fraction form
    11,347.25/15,658.92 = 6,311.48/x
  3. Step 3: Cross multiply
    11,347.25x = 15,658.92 × 6,311.48
  4. Step 4: Simplify right side
    11,347.25x = 98,830,882.11
  5. Step 5: Solve for x
    x = 98,830,882.11/11,347.25
  6. Step 6: Final answer
    x = 8,709.68

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1.5x scale

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.