Home / 10,982.96-16,455-9,123.20

Finding the Fourth Proportional to 10,982.96, 16,455 and 9,123.20

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Solution

The fourth proportional to 10,982.96, 16,455 and 9,123.20 is: 13,668.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,982.96 : 16,455 = 9,123.20 : x
  2. Step 2: Convert to fraction form
    10,982.96/16,455 = 9,123.20/x
  3. Step 3: Cross multiply
    10,982.96x = 16,455 × 9,123.20
  4. Step 4: Simplify right side
    10,982.96x = 150,122,256
  5. Step 5: Solve for x
    x = 150,122,256/10,982.96
  6. Step 6: Final answer
    x = 13,668.65

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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.