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Finding the Fourth Proportional to 8,291.64, 12,437.46 and 6,321.72

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Solution

The fourth proportional to 8,291.64, 12,437.46 and 6,321.72 is: 9,482.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,291.64 : 12,437.46 = 6,321.72 : x
  2. Step 2: Convert to fraction form
    8,291.64/12,437.46 = 6,321.72/x
  3. Step 3: Cross multiply
    8,291.64x = 12,437.46 × 6,321.72
  4. Step 4: Simplify right side
    8,291.64x = 78,626,139.63
  5. Step 5: Solve for x
    x = 78,626,139.63/8,291.64
  6. Step 6: Final answer
    x = 9,482.58

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Similar ratio
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1.5x scale

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.