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Finding the Fourth Proportional to 9,928.71, 13,700.93 and 5,452.38

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Solution

The fourth proportional to 9,928.71, 13,700.93 and 5,452.38 is: 7,523.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,928.71 : 13,700.93 = 5,452.38 : x
  2. Step 2: Convert to fraction form
    9,928.71/13,700.93 = 5,452.38/x
  3. Step 3: Cross multiply
    9,928.71x = 13,700.93 × 5,452.38
  4. Step 4: Simplify right side
    9,928.71x = 74,702,649.45
  5. Step 5: Solve for x
    x = 74,702,649.45/9,928.71
  6. Step 6: Final answer
    x = 7,523.90

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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.