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Finding the Fourth Proportional to 8,291.88, 11,437.72 and 5,306.64

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Solution

The fourth proportional to 8,291.88, 11,437.72 and 5,306.64 is: 7,319.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,291.88 : 11,437.72 = 5,306.64 : x
  2. Step 2: Convert to fraction form
    8,291.88/11,437.72 = 5,306.64/x
  3. Step 3: Cross multiply
    8,291.88x = 11,437.72 × 5,306.64
  4. Step 4: Simplify right side
    8,291.88x = 60,695,862.46
  5. Step 5: Solve for x
    x = 60,695,862.46/8,291.88
  6. Step 6: Final answer
    x = 7,319.92

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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.