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Finding the Fourth Proportional to 11,250.80, 15,528 and 6,537.81

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Solution

The fourth proportional to 11,250.80, 15,528 and 6,537.81 is: 9,023.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,250.80 : 15,528 = 6,537.81 : x
  2. Step 2: Convert to fraction form
    11,250.80/15,528 = 6,537.81/x
  3. Step 3: Cross multiply
    11,250.80x = 15,528 × 6,537.81
  4. Step 4: Simplify right side
    11,250.80x = 101,519,113.68
  5. Step 5: Solve for x
    x = 101,519,113.68/11,250.80
  6. Step 6: Final answer
    x = 9,023.28

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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.