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Finding the Fourth Proportional to 8,470.60, 12,705.90 and 6,502.30

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Solution

The fourth proportional to 8,470.60, 12,705.90 and 6,502.30 is: 9,753.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,470.60 : 12,705.90 = 6,502.30 : x
  2. Step 2: Convert to fraction form
    8,470.60/12,705.90 = 6,502.30/x
  3. Step 3: Cross multiply
    8,470.60x = 12,705.90 × 6,502.30
  4. Step 4: Simplify right side
    8,470.60x = 82,617,573.57
  5. Step 5: Solve for x
    x = 82,617,573.57/8,470.60
  6. Step 6: Final answer
    x = 9,753.45

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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.