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Finding the Fourth Proportional to 7,987.27, 11,918.43 and 7,157.09

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Solution

The fourth proportional to 7,987.27, 11,918.43 and 7,157.09 is: 10,679.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,987.27 : 11,918.43 = 7,157.09 : x
  2. Step 2: Convert to fraction form
    7,987.27/11,918.43 = 7,157.09/x
  3. Step 3: Cross multiply
    7,987.27x = 11,918.43 × 7,157.09
  4. Step 4: Simplify right side
    7,987.27x = 85,301,276.17
  5. Step 5: Solve for x
    x = 85,301,276.17/7,987.27
  6. Step 6: Final answer
    x = 10,679.65

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1.5x scale

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.