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Finding the Fourth Proportional to 7,187.60, 10,770.98 and 4,964.15

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Solution

The fourth proportional to 7,187.60, 10,770.98 and 4,964.15 is: 7,439.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,187.60 : 10,770.98 = 4,964.15 : x
  2. Step 2: Convert to fraction form
    7,187.60/10,770.98 = 4,964.15/x
  3. Step 3: Cross multiply
    7,187.60x = 10,770.98 × 4,964.15
  4. Step 4: Simplify right side
    7,187.60x = 53,468,681.69
  5. Step 5: Solve for x
    x = 53,468,681.69/7,187.60
  6. Step 6: Final answer
    x = 7,439.02

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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.