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Finding the Fourth Proportional to 20,047.20, 27,661.20 and 11,432.16

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Solution

The fourth proportional to 20,047.20, 27,661.20 and 11,432.16 is: 15,774.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,047.20 : 27,661.20 = 11,432.16 : x
  2. Step 2: Convert to fraction form
    20,047.20/27,661.20 = 11,432.16/x
  3. Step 3: Cross multiply
    20,047.20x = 27,661.20 × 11,432.16
  4. Step 4: Simplify right side
    20,047.20x = 316,227,264.19
  5. Step 5: Solve for x
    x = 316,227,264.19/20,047.20
  6. Step 6: Final answer
    x = 15,774.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.