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Finding the Fourth Proportional to 9,003.92, 13,506 and 3,160.56

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Solution

The fourth proportional to 9,003.92, 13,506 and 3,160.56 is: 4,740.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,003.92 : 13,506 = 3,160.56 : x
  2. Step 2: Convert to fraction form
    9,003.92/13,506 = 3,160.56/x
  3. Step 3: Cross multiply
    9,003.92x = 13,506 × 3,160.56
  4. Step 4: Simplify right side
    9,003.92x = 42,686,523.36
  5. Step 5: Solve for x
    x = 42,686,523.36/9,003.92
  6. Step 6: Final answer
    x = 4,740.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.