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Finding the Fourth Proportional to 26,123, 39,146.09 and 15,438.36

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Solution

The fourth proportional to 26,123, 39,146.09 and 15,438.36 is: 23,134.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,123 : 39,146.09 = 15,438.36 : x
  2. Step 2: Convert to fraction form
    26,123/39,146.09 = 15,438.36/x
  3. Step 3: Cross multiply
    26,123x = 39,146.09 × 15,438.36
  4. Step 4: Simplify right side
    26,123x = 604,351,430.01
  5. Step 5: Solve for x
    x = 604,351,430.01/26,123
  6. Step 6: Final answer
    x = 23,134.84

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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.