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Finding the Fourth Proportional to 18,290.26, 27,437.01 and 5,142.75

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Solution

The fourth proportional to 18,290.26, 27,437.01 and 5,142.75 is: 7,714.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,290.26 : 27,437.01 = 5,142.75 : x
  2. Step 2: Convert to fraction form
    18,290.26/27,437.01 = 5,142.75/x
  3. Step 3: Cross multiply
    18,290.26x = 27,437.01 × 5,142.75
  4. Step 4: Simplify right side
    18,290.26x = 141,101,683.18
  5. Step 5: Solve for x
    x = 141,101,683.18/18,290.26
  6. Step 6: Final answer
    x = 7,714.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.