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Finding the Fourth Proportional to 9,141.97, 12,615.67 and 5,415.97

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Solution

The fourth proportional to 9,141.97, 12,615.67 and 5,415.97 is: 7,473.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,141.97 : 12,615.67 = 5,415.97 : x
  2. Step 2: Convert to fraction form
    9,141.97/12,615.67 = 5,415.97/x
  3. Step 3: Cross multiply
    9,141.97x = 12,615.67 × 5,415.97
  4. Step 4: Simplify right side
    9,141.97x = 68,326,063.17
  5. Step 5: Solve for x
    x = 68,326,063.17/9,141.97
  6. Step 6: Final answer
    x = 7,473.89

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1.5x scale

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.