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Finding the Fourth Proportional to 9,077.60, 12,528 and 5,540

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Solution

The fourth proportional to 9,077.60, 12,528 and 5,540 is: 7,645.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,077.60 : 12,528 = 5,540 : x
  2. Step 2: Convert to fraction form
    9,077.60/12,528 = 5,540/x
  3. Step 3: Cross multiply
    9,077.60x = 12,528 × 5,540
  4. Step 4: Simplify right side
    9,077.60x = 69,405,120
  5. Step 5: Solve for x
    x = 69,405,120/9,077.60
  6. Step 6: Final answer
    x = 7,645.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.