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Finding the Fourth Proportional to 7,657.56, 11,489.20 and 5,215.40

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Solution

The fourth proportional to 7,657.56, 11,489.20 and 5,215.40 is: 7,825.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,657.56 : 11,489.20 = 5,215.40 : x
  2. Step 2: Convert to fraction form
    7,657.56/11,489.20 = 5,215.40/x
  3. Step 3: Cross multiply
    7,657.56x = 11,489.20 × 5,215.40
  4. Step 4: Simplify right side
    7,657.56x = 59,920,773.68
  5. Step 5: Solve for x
    x = 59,920,773.68/7,657.56
  6. Step 6: Final answer
    x = 7,825.05

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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.