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Finding the Fourth Proportional to 15,142.88, 20,894.68 and 8,428.34

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Solution

The fourth proportional to 15,142.88, 20,894.68 and 8,428.34 is: 11,629.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,142.88 : 20,894.68 = 8,428.34 : x
  2. Step 2: Convert to fraction form
    15,142.88/20,894.68 = 8,428.34/x
  3. Step 3: Cross multiply
    15,142.88x = 20,894.68 × 8,428.34
  4. Step 4: Simplify right side
    15,142.88x = 176,107,436.18
  5. Step 5: Solve for x
    x = 176,107,436.18/15,142.88
  6. Step 6: Final answer
    x = 11,629.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.