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Finding the Fourth Proportional to 7,131.88, 9,842 and 3,988.08

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Solution

The fourth proportional to 7,131.88, 9,842 and 3,988.08 is: 5,503.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,131.88 : 9,842 = 3,988.08 : x
  2. Step 2: Convert to fraction form
    7,131.88/9,842 = 3,988.08/x
  3. Step 3: Cross multiply
    7,131.88x = 9,842 × 3,988.08
  4. Step 4: Simplify right side
    7,131.88x = 39,250,683.36
  5. Step 5: Solve for x
    x = 39,250,683.36/7,131.88
  6. Step 6: Final answer
    x = 5,503.55

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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.