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Finding the Fourth Proportional to 7,102.80, 10,654.92 and 1,909.20

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Solution

The fourth proportional to 7,102.80, 10,654.92 and 1,909.20 is: 2,863.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,102.80 : 10,654.92 = 1,909.20 : x
  2. Step 2: Convert to fraction form
    7,102.80/10,654.92 = 1,909.20/x
  3. Step 3: Cross multiply
    7,102.80x = 10,654.92 × 1,909.20
  4. Step 4: Simplify right side
    7,102.80x = 20,342,373.26
  5. Step 5: Solve for x
    x = 20,342,373.26/7,102.80
  6. Step 6: Final answer
    x = 2,863.99

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1.5x scale

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.