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Finding the Fourth Proportional to 11,123.54, 16,666.84 and 7,829.71

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Solution

The fourth proportional to 11,123.54, 16,666.84 and 7,829.71 is: 11,731.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,123.54 : 16,666.84 = 7,829.71 : x
  2. Step 2: Convert to fraction form
    11,123.54/16,666.84 = 7,829.71/x
  3. Step 3: Cross multiply
    11,123.54x = 16,666.84 × 7,829.71
  4. Step 4: Simplify right side
    11,123.54x = 130,496,491.94
  5. Step 5: Solve for x
    x = 130,496,491.94/11,123.54
  6. Step 6: Final answer
    x = 11,731.56

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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.