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Finding the Fourth Proportional to 12,661.13, 18,943.49 and 7,645.04

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Solution

The fourth proportional to 12,661.13, 18,943.49 and 7,645.04 is: 11,438.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,661.13 : 18,943.49 = 7,645.04 : x
  2. Step 2: Convert to fraction form
    12,661.13/18,943.49 = 7,645.04/x
  3. Step 3: Cross multiply
    12,661.13x = 18,943.49 × 7,645.04
  4. Step 4: Simplify right side
    12,661.13x = 144,823,663.18
  5. Step 5: Solve for x
    x = 144,823,663.18/12,661.13
  6. Step 6: Final answer
    x = 11,438.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.