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Finding the Fourth Proportional to 25,813.20, 38,719.80 and 8,284.80

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Solution

The fourth proportional to 25,813.20, 38,719.80 and 8,284.80 is: 12,427.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,813.20 : 38,719.80 = 8,284.80 : x
  2. Step 2: Convert to fraction form
    25,813.20/38,719.80 = 8,284.80/x
  3. Step 3: Cross multiply
    25,813.20x = 38,719.80 × 8,284.80
  4. Step 4: Simplify right side
    25,813.20x = 320,785,799.04
  5. Step 5: Solve for x
    x = 320,785,799.04/25,813.20
  6. Step 6: Final answer
    x = 12,427.20

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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.