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Finding the Fourth Proportional to 25,671, 38,477.28 and 10,870.68

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Solution

The fourth proportional to 25,671, 38,477.28 and 10,870.68 is: 16,293.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,671 : 38,477.28 = 10,870.68 : x
  2. Step 2: Convert to fraction form
    25,671/38,477.28 = 10,870.68/x
  3. Step 3: Cross multiply
    25,671x = 38,477.28 × 10,870.68
  4. Step 4: Simplify right side
    25,671x = 418,274,198.15
  5. Step 5: Solve for x
    x = 418,274,198.15/25,671
  6. Step 6: Final answer
    x = 16,293.65

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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.