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Finding the Fourth Proportional to 40,728.40, 56,194.50 and 24,820

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Solution

The fourth proportional to 40,728.40, 56,194.50 and 24,820 is: 34,245.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,728.40 : 56,194.50 = 24,820 : x
  2. Step 2: Convert to fraction form
    40,728.40/56,194.50 = 24,820/x
  3. Step 3: Cross multiply
    40,728.40x = 56,194.50 × 24,820
  4. Step 4: Simplify right side
    40,728.40x = 1,394,747,490
  5. Step 5: Solve for x
    x = 1,394,747,490/40,728.40
  6. Step 6: Final answer
    x = 34,245.08

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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.