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Finding the Fourth Proportional to 26,477.87, 39,722.52 and 8,947.31

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Solution

The fourth proportional to 26,477.87, 39,722.52 and 8,947.31 is: 13,422.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,477.87 : 39,722.52 = 8,947.31 : x
  2. Step 2: Convert to fraction form
    26,477.87/39,722.52 = 8,947.31/x
  3. Step 3: Cross multiply
    26,477.87x = 39,722.52 × 8,947.31
  4. Step 4: Simplify right side
    26,477.87x = 355,409,700.42
  5. Step 5: Solve for x
    x = 355,409,700.42/26,477.87
  6. Step 6: Final answer
    x = 13,422.90

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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.