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Finding the Fourth Proportional to 25,842.40, 38,738.82 and 8,300.20

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Solution

The fourth proportional to 25,842.40, 38,738.82 and 8,300.20 is: 12,442.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,842.40 : 38,738.82 = 8,300.20 : x
  2. Step 2: Convert to fraction form
    25,842.40/38,738.82 = 8,300.20/x
  3. Step 3: Cross multiply
    25,842.40x = 38,738.82 × 8,300.20
  4. Step 4: Simplify right side
    25,842.40x = 321,539,953.76
  5. Step 5: Solve for x
    x = 321,539,953.76/25,842.40
  6. Step 6: Final answer
    x = 12,442.34

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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.