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Finding the Fourth Proportional to 8,470.32, 11,663.64 and 7,070.64

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Solution

The fourth proportional to 8,470.32, 11,663.64 and 7,070.64 is: 9,736.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,470.32 : 11,663.64 = 7,070.64 : x
  2. Step 2: Convert to fraction form
    8,470.32/11,663.64 = 7,070.64/x
  3. Step 3: Cross multiply
    8,470.32x = 11,663.64 × 7,070.64
  4. Step 4: Simplify right side
    8,470.32x = 82,469,399.53
  5. Step 5: Solve for x
    x = 82,469,399.53/8,470.32
  6. Step 6: Final answer
    x = 9,736.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.