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Finding the Fourth Proportional to 15,196.47, 20,946.03 and 10,158.85

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Solution

The fourth proportional to 15,196.47, 20,946.03 and 10,158.85 is: 14,002.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,196.47 : 20,946.03 = 10,158.85 : x
  2. Step 2: Convert to fraction form
    15,196.47/20,946.03 = 10,158.85/x
  3. Step 3: Cross multiply
    15,196.47x = 20,946.03 × 10,158.85
  4. Step 4: Simplify right side
    15,196.47x = 212,787,576.87
  5. Step 5: Solve for x
    x = 212,787,576.87/15,196.47
  6. Step 6: Final answer
    x = 14,002.43

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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.