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Finding the Fourth Proportional to 7,654.70, 11,494.20 and 5,200.40

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Solution

The fourth proportional to 7,654.70, 11,494.20 and 5,200.40 is: 7,808.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,654.70 : 11,494.20 = 5,200.40 : x
  2. Step 2: Convert to fraction form
    7,654.70/11,494.20 = 5,200.40/x
  3. Step 3: Cross multiply
    7,654.70x = 11,494.20 × 5,200.40
  4. Step 4: Simplify right side
    7,654.70x = 59,774,437.68
  5. Step 5: Solve for x
    x = 59,774,437.68/7,654.70
  6. Step 6: Final answer
    x = 7,808.85

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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.