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Finding the Fourth Proportional to 7,188.62, 10,780.32 and 2,507.30

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Solution

The fourth proportional to 7,188.62, 10,780.32 and 2,507.30 is: 3,760.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,188.62 : 10,780.32 = 2,507.30 : x
  2. Step 2: Convert to fraction form
    7,188.62/10,780.32 = 2,507.30/x
  3. Step 3: Cross multiply
    7,188.62x = 10,780.32 × 2,507.30
  4. Step 4: Simplify right side
    7,188.62x = 27,029,531.75
  5. Step 5: Solve for x
    x = 27,029,531.75/7,188.62
  6. Step 6: Final answer
    x = 3,760.04

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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.