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Finding the Fourth Proportional to 25,860.78, 38,788.98 and 10,274.22

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Solution

The fourth proportional to 25,860.78, 38,788.98 and 10,274.22 is: 15,410.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,860.78 : 38,788.98 = 10,274.22 : x
  2. Step 2: Convert to fraction form
    25,860.78/38,788.98 = 10,274.22/x
  3. Step 3: Cross multiply
    25,860.78x = 38,788.98 × 10,274.22
  4. Step 4: Simplify right side
    25,860.78x = 398,526,514.10
  5. Step 5: Solve for x
    x = 398,526,514.10/25,860.78
  6. Step 6: Final answer
    x = 15,410.46

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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.