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Finding the Fourth Proportional to 10,957.70, 16,423.05 and 7,447.70

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Solution

The fourth proportional to 10,957.70, 16,423.05 and 7,447.70 is: 11,162.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,957.70 : 16,423.05 = 7,447.70 : x
  2. Step 2: Convert to fraction form
    10,957.70/16,423.05 = 7,447.70/x
  3. Step 3: Cross multiply
    10,957.70x = 16,423.05 × 7,447.70
  4. Step 4: Simplify right side
    10,957.70x = 122,313,949.49
  5. Step 5: Solve for x
    x = 122,313,949.49/10,957.70
  6. Step 6: Final answer
    x = 11,162.37

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1.5x scale

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.