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Finding the Fourth Proportional to 25,662.80, 38,465.40 and 10,869.20

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Solution

The fourth proportional to 25,662.80, 38,465.40 and 10,869.20 is: 16,291.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,662.80 : 38,465.40 = 10,869.20 : x
  2. Step 2: Convert to fraction form
    25,662.80/38,465.40 = 10,869.20/x
  3. Step 3: Cross multiply
    25,662.80x = 38,465.40 × 10,869.20
  4. Step 4: Simplify right side
    25,662.80x = 418,088,125.68
  5. Step 5: Solve for x
    x = 418,088,125.68/25,662.80
  6. Step 6: Final answer
    x = 16,291.60

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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.