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Finding the Fourth Proportional to 9,871.20, 13,616.64 and 5,678.64

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Solution

The fourth proportional to 9,871.20, 13,616.64 and 5,678.64 is: 7,833.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,871.20 : 13,616.64 = 5,678.64 : x
  2. Step 2: Convert to fraction form
    9,871.20/13,616.64 = 5,678.64/x
  3. Step 3: Cross multiply
    9,871.20x = 13,616.64 × 5,678.64
  4. Step 4: Simplify right side
    9,871.20x = 77,323,996.57
  5. Step 5: Solve for x
    x = 77,323,996.57/9,871.20
  6. Step 6: Final answer
    x = 7,833.29

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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.