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Finding the Fourth Proportional to 7,478.71, 11,221.90 and 5,140.60

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Solution

The fourth proportional to 7,478.71, 11,221.90 and 5,140.60 is: 7,713.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,478.71 : 11,221.90 = 5,140.60 : x
  2. Step 2: Convert to fraction form
    7,478.71/11,221.90 = 5,140.60/x
  3. Step 3: Cross multiply
    7,478.71x = 11,221.90 × 5,140.60
  4. Step 4: Simplify right side
    7,478.71x = 57,687,258.23
  5. Step 5: Solve for x
    x = 57,687,258.23/7,478.71
  6. Step 6: Final answer
    x = 7,713.53

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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.