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Finding the Fourth Proportional to 9,669, 13,343.30 and 5,253

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Solution

The fourth proportional to 9,669, 13,343.30 and 5,253 is: 7,249.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,669 : 13,343.30 = 5,253 : x
  2. Step 2: Convert to fraction form
    9,669/13,343.30 = 5,253/x
  3. Step 3: Cross multiply
    9,669x = 13,343.30 × 5,253
  4. Step 4: Simplify right side
    9,669x = 70,092,354.90
  5. Step 5: Solve for x
    x = 70,092,354.90/9,669
  6. Step 6: Final answer
    x = 7,249.18

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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.