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Finding the Fourth Proportional to 25,748.88, 38,616.84 and 8,209.68

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Solution

The fourth proportional to 25,748.88, 38,616.84 and 8,209.68 is: 12,312.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,748.88 : 38,616.84 = 8,209.68 : x
  2. Step 2: Convert to fraction form
    25,748.88/38,616.84 = 8,209.68/x
  3. Step 3: Cross multiply
    25,748.88x = 38,616.84 × 8,209.68
  4. Step 4: Simplify right side
    25,748.88x = 317,031,899.01
  5. Step 5: Solve for x
    x = 317,031,899.01/25,748.88
  6. Step 6: Final answer
    x = 12,312.45

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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.