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Finding the Fourth Proportional to 9,030.72, 13,524 and 5,137.92

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Solution

The fourth proportional to 9,030.72, 13,524 and 5,137.92 is: 7,694.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,030.72 : 13,524 = 5,137.92 : x
  2. Step 2: Convert to fraction form
    9,030.72/13,524 = 5,137.92/x
  3. Step 3: Cross multiply
    9,030.72x = 13,524 × 5,137.92
  4. Step 4: Simplify right side
    9,030.72x = 69,485,230.08
  5. Step 5: Solve for x
    x = 69,485,230.08/9,030.72
  6. Step 6: Final answer
    x = 7,694.32

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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.