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Finding the Fourth Proportional to 25,609.40, 38,414.10 and 7,141.40

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Solution

The fourth proportional to 25,609.40, 38,414.10 and 7,141.40 is: 10,712.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,609.40 : 38,414.10 = 7,141.40 : x
  2. Step 2: Convert to fraction form
    25,609.40/38,414.10 = 7,141.40/x
  3. Step 3: Cross multiply
    25,609.40x = 38,414.10 × 7,141.40
  4. Step 4: Simplify right side
    25,609.40x = 274,330,453.74
  5. Step 5: Solve for x
    x = 274,330,453.74/25,609.40
  6. Step 6: Final answer
    x = 10,712.10

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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.