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Finding the Fourth Proportional to 25,641.40, 38,465.70 and 8,109.40

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Solution

The fourth proportional to 25,641.40, 38,465.70 and 8,109.40 is: 12,165.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,641.40 : 38,465.70 = 8,109.40 : x
  2. Step 2: Convert to fraction form
    25,641.40/38,465.70 = 8,109.40/x
  3. Step 3: Cross multiply
    25,641.40x = 38,465.70 × 8,109.40
  4. Step 4: Simplify right side
    25,641.40x = 311,933,747.58
  5. Step 5: Solve for x
    x = 311,933,747.58/25,641.40
  6. Step 6: Final answer
    x = 12,165.24

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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.