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Finding the Fourth Proportional to 8,316.96, 12,472.08 and 6,470.16

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Solution

The fourth proportional to 8,316.96, 12,472.08 and 6,470.16 is: 9,702.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,316.96 : 12,472.08 = 6,470.16 : x
  2. Step 2: Convert to fraction form
    8,316.96/12,472.08 = 6,470.16/x
  3. Step 3: Cross multiply
    8,316.96x = 12,472.08 × 6,470.16
  4. Step 4: Simplify right side
    8,316.96x = 80,696,353.13
  5. Step 5: Solve for x
    x = 80,696,353.13/8,316.96
  6. Step 6: Final answer
    x = 9,702.63

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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.