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Finding the Fourth Proportional to 7,131.76, 9,842.04 and 3,988.48

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Solution

The fourth proportional to 7,131.76, 9,842.04 and 3,988.48 is: 5,504.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,131.76 : 9,842.04 = 3,988.48 : x
  2. Step 2: Convert to fraction form
    7,131.76/9,842.04 = 3,988.48/x
  3. Step 3: Cross multiply
    7,131.76x = 9,842.04 × 3,988.48
  4. Step 4: Simplify right side
    7,131.76x = 39,254,779.70
  5. Step 5: Solve for x
    x = 39,254,779.70/7,131.76
  6. Step 6: Final answer
    x = 5,504.22

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1.5x scale

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.