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Finding the Fourth Proportional to 15,694.60, 23,541.90 and 14,139.40

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Solution

The fourth proportional to 15,694.60, 23,541.90 and 14,139.40 is: 21,209.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,694.60 : 23,541.90 = 14,139.40 : x
  2. Step 2: Convert to fraction form
    15,694.60/23,541.90 = 14,139.40/x
  3. Step 3: Cross multiply
    15,694.60x = 23,541.90 × 14,139.40
  4. Step 4: Simplify right side
    15,694.60x = 332,868,340.86
  5. Step 5: Solve for x
    x = 332,868,340.86/15,694.60
  6. Step 6: Final answer
    x = 21,209.10

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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.