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Finding the Fourth Proportional to 18,242.10, 27,342.90 and 7,145.10

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Solution

The fourth proportional to 18,242.10, 27,342.90 and 7,145.10 is: 10,709.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,242.10 : 27,342.90 = 7,145.10 : x
  2. Step 2: Convert to fraction form
    18,242.10/27,342.90 = 7,145.10/x
  3. Step 3: Cross multiply
    18,242.10x = 27,342.90 × 7,145.10
  4. Step 4: Simplify right side
    18,242.10x = 195,367,754.79
  5. Step 5: Solve for x
    x = 195,367,754.79/18,242.10
  6. Step 6: Final answer
    x = 10,709.72

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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.