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Finding the Fourth Proportional to 31,728, 43,782.90 and 17,385.18

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Solution

The fourth proportional to 31,728, 43,782.90 and 17,385.18 is: 23,990.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,728 : 43,782.90 = 17,385.18 : x
  2. Step 2: Convert to fraction form
    31,728/43,782.90 = 17,385.18/x
  3. Step 3: Cross multiply
    31,728x = 43,782.90 × 17,385.18
  4. Step 4: Simplify right side
    31,728x = 761,173,597.42
  5. Step 5: Solve for x
    x = 761,173,597.42/31,728
  6. Step 6: Final answer
    x = 23,990.59

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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.