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Finding the Fourth Proportional to 9,731.68, 13,432.66 and 8,419.48

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Solution

The fourth proportional to 9,731.68, 13,432.66 and 8,419.48 is: 11,621.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,731.68 : 13,432.66 = 8,419.48 : x
  2. Step 2: Convert to fraction form
    9,731.68/13,432.66 = 8,419.48/x
  3. Step 3: Cross multiply
    9,731.68x = 13,432.66 × 8,419.48
  4. Step 4: Simplify right side
    9,731.68x = 113,095,957.59
  5. Step 5: Solve for x
    x = 113,095,957.59/9,731.68
  6. Step 6: Final answer
    x = 11,621.42

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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.