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Finding the Fourth Proportional to 9,338.64, 12,888.50 and 5,361

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Solution

The fourth proportional to 9,338.64, 12,888.50 and 5,361 is: 7,398.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,338.64 : 12,888.50 = 5,361 : x
  2. Step 2: Convert to fraction form
    9,338.64/12,888.50 = 5,361/x
  3. Step 3: Cross multiply
    9,338.64x = 12,888.50 × 5,361
  4. Step 4: Simplify right side
    9,338.64x = 69,095,221.70
  5. Step 5: Solve for x
    x = 69,095,221.70/9,338.64
  6. Step 6: Final answer
    x = 7,398.85

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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.