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Finding the Fourth Proportional to 10,165.97, 14,040 and 6,987.66

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Solution

The fourth proportional to 10,165.97, 14,040 and 6,987.66 is: 9,650.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,165.97 : 14,040 = 6,987.66 : x
  2. Step 2: Convert to fraction form
    10,165.97/14,040 = 6,987.66/x
  3. Step 3: Cross multiply
    10,165.97x = 14,040 × 6,987.66
  4. Step 4: Simplify right side
    10,165.97x = 98,106,746.40
  5. Step 5: Solve for x
    x = 98,106,746.40/10,165.97
  6. Step 6: Final answer
    x = 9,650.51

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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.