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Finding the Fourth Proportional to 31,754.64, 43,809.12 and 20,422.64

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Solution

The fourth proportional to 31,754.64, 43,809.12 and 20,422.64 is: 28,175.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,754.64 : 43,809.12 = 20,422.64 : x
  2. Step 2: Convert to fraction form
    31,754.64/43,809.12 = 20,422.64/x
  3. Step 3: Cross multiply
    31,754.64x = 43,809.12 × 20,422.64
  4. Step 4: Simplify right side
    31,754.64x = 894,697,886.48
  5. Step 5: Solve for x
    x = 894,697,886.48/31,754.64
  6. Step 6: Final answer
    x = 28,175.34

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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.