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Finding the Fourth Proportional to 7,102.80, 10,654.20 and 3,992.40

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Solution

The fourth proportional to 7,102.80, 10,654.20 and 3,992.40 is: 5,988.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,102.80 : 10,654.20 = 3,992.40 : x
  2. Step 2: Convert to fraction form
    7,102.80/10,654.20 = 3,992.40/x
  3. Step 3: Cross multiply
    7,102.80x = 10,654.20 × 3,992.40
  4. Step 4: Simplify right side
    7,102.80x = 42,535,828.08
  5. Step 5: Solve for x
    x = 42,535,828.08/7,102.80
  6. Step 6: Final answer
    x = 5,988.60

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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.