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Finding the Fourth Proportional to 8,159.12, 12,206.64 and 6,296.16

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Solution

The fourth proportional to 8,159.12, 12,206.64 and 6,296.16 is: 9,419.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,159.12 : 12,206.64 = 6,296.16 : x
  2. Step 2: Convert to fraction form
    8,159.12/12,206.64 = 6,296.16/x
  3. Step 3: Cross multiply
    8,159.12x = 12,206.64 × 6,296.16
  4. Step 4: Simplify right side
    8,159.12x = 76,854,958.50
  5. Step 5: Solve for x
    x = 76,854,958.50/8,159.12
  6. Step 6: Final answer
    x = 9,419.52

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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.