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Finding the Fourth Proportional to 12,355.20, 17,048.90 and 7,049

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Solution

The fourth proportional to 12,355.20, 17,048.90 and 7,049 is: 9,726.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,355.20 : 17,048.90 = 7,049 : x
  2. Step 2: Convert to fraction form
    12,355.20/17,048.90 = 7,049/x
  3. Step 3: Cross multiply
    12,355.20x = 17,048.90 × 7,049
  4. Step 4: Simplify right side
    12,355.20x = 120,177,696.10
  5. Step 5: Solve for x
    x = 120,177,696.10/12,355.20
  6. Step 6: Final answer
    x = 9,726.89

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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.