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Finding the Fourth Proportional to 8,397.68, 12,580.08 and 6,440.30

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Solution

The fourth proportional to 8,397.68, 12,580.08 and 6,440.30 is: 9,647.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,397.68 : 12,580.08 = 6,440.30 : x
  2. Step 2: Convert to fraction form
    8,397.68/12,580.08 = 6,440.30/x
  3. Step 3: Cross multiply
    8,397.68x = 12,580.08 × 6,440.30
  4. Step 4: Simplify right side
    8,397.68x = 81,019,489.22
  5. Step 5: Solve for x
    x = 81,019,489.22/8,397.68
  6. Step 6: Final answer
    x = 9,647.84

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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.