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Finding the Fourth Proportional to 23,123, 34,687.16 and 8,125.51

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Solution

The fourth proportional to 23,123, 34,687.16 and 8,125.51 is: 12,189.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,123 : 34,687.16 = 8,125.51 : x
  2. Step 2: Convert to fraction form
    23,123/34,687.16 = 8,125.51/x
  3. Step 3: Cross multiply
    23,123x = 34,687.16 × 8,125.51
  4. Step 4: Simplify right side
    23,123x = 281,850,865.45
  5. Step 5: Solve for x
    x = 281,850,865.45/23,123
  6. Step 6: Final answer
    x = 12,189.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.