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Finding the Fourth Proportional to 8,530.68, 12,772.12 and 6,444.12

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Solution

The fourth proportional to 8,530.68, 12,772.12 and 6,444.12 is: 9,648.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,530.68 : 12,772.12 = 6,444.12 : x
  2. Step 2: Convert to fraction form
    8,530.68/12,772.12 = 6,444.12/x
  3. Step 3: Cross multiply
    8,530.68x = 12,772.12 × 6,444.12
  4. Step 4: Simplify right side
    8,530.68x = 82,305,073.93
  5. Step 5: Solve for x
    x = 82,305,073.93/8,530.68
  6. Step 6: Final answer
    x = 9,648.13

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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.