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Finding the Fourth Proportional to 25,380.32, 38,070.48 and 7,849.76

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Solution

The fourth proportional to 25,380.32, 38,070.48 and 7,849.76 is: 11,774.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,380.32 : 38,070.48 = 7,849.76 : x
  2. Step 2: Convert to fraction form
    25,380.32/38,070.48 = 7,849.76/x
  3. Step 3: Cross multiply
    25,380.32x = 38,070.48 × 7,849.76
  4. Step 4: Simplify right side
    25,380.32x = 298,844,131.08
  5. Step 5: Solve for x
    x = 298,844,131.08/25,380.32
  6. Step 6: Final answer
    x = 11,774.64

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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.