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Finding the Fourth Proportional to 9,663.32, 14,560.81 and 7,946.78

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Solution

The fourth proportional to 9,663.32, 14,560.81 and 7,946.78 is: 11,974.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,663.32 : 14,560.81 = 7,946.78 : x
  2. Step 2: Convert to fraction form
    9,663.32/14,560.81 = 7,946.78/x
  3. Step 3: Cross multiply
    9,663.32x = 14,560.81 × 7,946.78
  4. Step 4: Simplify right side
    9,663.32x = 115,711,536.44
  5. Step 5: Solve for x
    x = 115,711,536.44/9,663.32
  6. Step 6: Final answer
    x = 11,974.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.