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Finding the Fourth Proportional to 25,492, 38,242.32 and 7,958.32

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Solution

The fourth proportional to 25,492, 38,242.32 and 7,958.32 is: 11,938.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,492 : 38,242.32 = 7,958.32 : x
  2. Step 2: Convert to fraction form
    25,492/38,242.32 = 7,958.32/x
  3. Step 3: Cross multiply
    25,492x = 38,242.32 × 7,958.32
  4. Step 4: Simplify right side
    25,492x = 304,344,620.10
  5. Step 5: Solve for x
    x = 304,344,620.10/25,492
  6. Step 6: Final answer
    x = 11,938.83

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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.