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Finding the Fourth Proportional to 31,165.80, 43,009.04 and 17,738.08

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Solution

The fourth proportional to 31,165.80, 43,009.04 and 17,738.08 is: 24,478.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,165.80 : 43,009.04 = 17,738.08 : x
  2. Step 2: Convert to fraction form
    31,165.80/43,009.04 = 17,738.08/x
  3. Step 3: Cross multiply
    31,165.80x = 43,009.04 × 17,738.08
  4. Step 4: Simplify right side
    31,165.80x = 762,897,792.24
  5. Step 5: Solve for x
    x = 762,897,792.24/31,165.80
  6. Step 6: Final answer
    x = 24,478.68

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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.