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Finding the Fourth Proportional to 7,635.20, 11,451.20 and 3,742.40

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Solution

The fourth proportional to 7,635.20, 11,451.20 and 3,742.40 is: 5,612.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,635.20 : 11,451.20 = 3,742.40 : x
  2. Step 2: Convert to fraction form
    7,635.20/11,451.20 = 3,742.40/x
  3. Step 3: Cross multiply
    7,635.20x = 11,451.20 × 3,742.40
  4. Step 4: Simplify right side
    7,635.20x = 42,854,970.88
  5. Step 5: Solve for x
    x = 42,854,970.88/7,635.20
  6. Step 6: Final answer
    x = 5,612.82

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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.