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Finding the Fourth Proportional to 7,174.12, 9,899.84 and 3,987.22

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Solution

The fourth proportional to 7,174.12, 9,899.84 and 3,987.22 is: 5,502.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,174.12 : 9,899.84 = 3,987.22 : x
  2. Step 2: Convert to fraction form
    7,174.12/9,899.84 = 3,987.22/x
  3. Step 3: Cross multiply
    7,174.12x = 9,899.84 × 3,987.22
  4. Step 4: Simplify right side
    7,174.12x = 39,472,820.11
  5. Step 5: Solve for x
    x = 39,472,820.11/7,174.12
  6. Step 6: Final answer
    x = 5,502.11

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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.