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Finding the Fourth Proportional to 27,164.26, 40,742.02 and 7,438.20

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Solution

The fourth proportional to 27,164.26, 40,742.02 and 7,438.20 is: 11,156.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,164.26 : 40,742.02 = 7,438.20 : x
  2. Step 2: Convert to fraction form
    27,164.26/40,742.02 = 7,438.20/x
  3. Step 3: Cross multiply
    27,164.26x = 40,742.02 × 7,438.20
  4. Step 4: Simplify right side
    27,164.26x = 303,047,293.16
  5. Step 5: Solve for x
    x = 303,047,293.16/27,164.26
  6. Step 6: Final answer
    x = 11,156.10

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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.