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Finding the Fourth Proportional to 25,970.66, 38,942.12 and 13,478.10

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Solution

The fourth proportional to 25,970.66, 38,942.12 and 13,478.10 is: 20,209.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,970.66 : 38,942.12 = 13,478.10 : x
  2. Step 2: Convert to fraction form
    25,970.66/38,942.12 = 13,478.10/x
  3. Step 3: Cross multiply
    25,970.66x = 38,942.12 × 13,478.10
  4. Step 4: Simplify right side
    25,970.66x = 524,865,787.57
  5. Step 5: Solve for x
    x = 524,865,787.57/25,970.66
  6. Step 6: Final answer
    x = 20,209.95

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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.