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Finding the Fourth Proportional to 9,702, 13,385.40 and 5,452.48

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Solution

The fourth proportional to 9,702, 13,385.40 and 5,452.48 is: 7,522.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,702 : 13,385.40 = 5,452.48 : x
  2. Step 2: Convert to fraction form
    9,702/13,385.40 = 5,452.48/x
  3. Step 3: Cross multiply
    9,702x = 13,385.40 × 5,452.48
  4. Step 4: Simplify right side
    9,702x = 72,983,625.79
  5. Step 5: Solve for x
    x = 72,983,625.79/9,702
  6. Step 6: Final answer
    x = 7,522.53

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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.