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Finding the Fourth Proportional to 25,782.80, 38,645.40 and 14,694.80

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Solution

The fourth proportional to 25,782.80, 38,645.40 and 14,694.80 is: 22,025.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,782.80 : 38,645.40 = 14,694.80 : x
  2. Step 2: Convert to fraction form
    25,782.80/38,645.40 = 14,694.80/x
  3. Step 3: Cross multiply
    25,782.80x = 38,645.40 × 14,694.80
  4. Step 4: Simplify right side
    25,782.80x = 567,886,423.92
  5. Step 5: Solve for x
    x = 567,886,423.92/25,782.80
  6. Step 6: Final answer
    x = 22,025.79

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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.