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Finding the Fourth Proportional to 9,825.52, 13,572.48 and 9,125.68

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Solution

The fourth proportional to 9,825.52, 13,572.48 and 9,125.68 is: 12,605.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,825.52 : 13,572.48 = 9,125.68 : x
  2. Step 2: Convert to fraction form
    9,825.52/13,572.48 = 9,125.68/x
  3. Step 3: Cross multiply
    9,825.52x = 13,572.48 × 9,125.68
  4. Step 4: Simplify right side
    9,825.52x = 123,858,109.29
  5. Step 5: Solve for x
    x = 123,858,109.29/9,825.52
  6. Step 6: Final answer
    x = 12,605.76

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1.5x scale

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.