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Finding the Fourth Proportional to 12,351.51, 17,046.05 and 7,047.90

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Solution

The fourth proportional to 12,351.51, 17,046.05 and 7,047.90 is: 9,726.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,351.51 : 17,046.05 = 7,047.90 : x
  2. Step 2: Convert to fraction form
    12,351.51/17,046.05 = 7,047.90/x
  3. Step 3: Cross multiply
    12,351.51x = 17,046.05 × 7,047.90
  4. Step 4: Simplify right side
    12,351.51x = 120,138,820.56
  5. Step 5: Solve for x
    x = 120,138,820.56/12,351.51
  6. Step 6: Final answer
    x = 9,726.65

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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.