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Finding the Fourth Proportional to 9,839, 14,682.94 and 8,788.04

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Solution

The fourth proportional to 9,839, 14,682.94 and 8,788.04 is: 13,114.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,839 : 14,682.94 = 8,788.04 : x
  2. Step 2: Convert to fraction form
    9,839/14,682.94 = 8,788.04/x
  3. Step 3: Cross multiply
    9,839x = 14,682.94 × 8,788.04
  4. Step 4: Simplify right side
    9,839x = 129,034,264.04
  5. Step 5: Solve for x
    x = 129,034,264.04/9,839
  6. Step 6: Final answer
    x = 13,114.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.