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Finding the Fourth Proportional to 31,874.04, 43,985.43 and 17,728.20

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Solution

The fourth proportional to 31,874.04, 43,985.43 and 17,728.20 is: 24,464.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,874.04 : 43,985.43 = 17,728.20 : x
  2. Step 2: Convert to fraction form
    31,874.04/43,985.43 = 17,728.20/x
  3. Step 3: Cross multiply
    31,874.04x = 43,985.43 × 17,728.20
  4. Step 4: Simplify right side
    31,874.04x = 779,782,500.13
  5. Step 5: Solve for x
    x = 779,782,500.13/31,874.04
  6. Step 6: Final answer
    x = 24,464.50

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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.