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Finding the Fourth Proportional to 9,938.57, 13,715.48 and 5,462.44

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Solution

The fourth proportional to 9,938.57, 13,715.48 and 5,462.44 is: 7,538.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,938.57 : 13,715.48 = 5,462.44 : x
  2. Step 2: Convert to fraction form
    9,938.57/13,715.48 = 5,462.44/x
  3. Step 3: Cross multiply
    9,938.57x = 13,715.48 × 5,462.44
  4. Step 4: Simplify right side
    9,938.57x = 74,919,965.94
  5. Step 5: Solve for x
    x = 74,919,965.94/9,938.57
  6. Step 6: Final answer
    x = 7,538.30

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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.