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Finding the Fourth Proportional to 25,789.75, 38,686.98 and 8,020.51

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Solution

The fourth proportional to 25,789.75, 38,686.98 and 8,020.51 is: 12,031.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,789.75 : 38,686.98 = 8,020.51 : x
  2. Step 2: Convert to fraction form
    25,789.75/38,686.98 = 8,020.51/x
  3. Step 3: Cross multiply
    25,789.75x = 38,686.98 × 8,020.51
  4. Step 4: Simplify right side
    25,789.75x = 310,289,309.96
  5. Step 5: Solve for x
    x = 310,289,309.96/25,789.75
  6. Step 6: Final answer
    x = 12,031.50

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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.