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Finding the Fourth Proportional to 30,471.89, 41,963.49 and 25,117.50

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Solution

The fourth proportional to 30,471.89, 41,963.49 and 25,117.50 is: 34,589.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,471.89 : 41,963.49 = 25,117.50 : x
  2. Step 2: Convert to fraction form
    30,471.89/41,963.49 = 25,117.50/x
  3. Step 3: Cross multiply
    30,471.89x = 41,963.49 × 25,117.50
  4. Step 4: Simplify right side
    30,471.89x = 1,054,017,893.03
  5. Step 5: Solve for x
    x = 1,054,017,893.03/30,471.89
  6. Step 6: Final answer
    x = 34,589.85

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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.