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Finding the Fourth Proportional to 27,144.16, 40,714.88 and 7,422.32

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Solution

The fourth proportional to 27,144.16, 40,714.88 and 7,422.32 is: 11,133.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,144.16 : 40,714.88 = 7,422.32 : x
  2. Step 2: Convert to fraction form
    27,144.16/40,714.88 = 7,422.32/x
  3. Step 3: Cross multiply
    27,144.16x = 40,714.88 × 7,422.32
  4. Step 4: Simplify right side
    27,144.16x = 302,198,868.12
  5. Step 5: Solve for x
    x = 302,198,868.12/27,144.16
  6. Step 6: Final answer
    x = 11,133.11

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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.