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Finding the Fourth Proportional to 10,456.70, 15,609.84 and 8,959.81

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Solution

The fourth proportional to 10,456.70, 15,609.84 and 8,959.81 is: 13,375.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,456.70 : 15,609.84 = 8,959.81 : x
  2. Step 2: Convert to fraction form
    10,456.70/15,609.84 = 8,959.81/x
  3. Step 3: Cross multiply
    10,456.70x = 15,609.84 × 8,959.81
  4. Step 4: Simplify right side
    10,456.70x = 139,861,161.51
  5. Step 5: Solve for x
    x = 139,861,161.51/10,456.70
  6. Step 6: Final answer
    x = 13,375.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.