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Finding the Fourth Proportional to 10,900.80, 16,329.60 and 6,505.20

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Solution

The fourth proportional to 10,900.80, 16,329.60 and 6,505.20 is: 9,744.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,900.80 : 16,329.60 = 6,505.20 : x
  2. Step 2: Convert to fraction form
    10,900.80/16,329.60 = 6,505.20/x
  3. Step 3: Cross multiply
    10,900.80x = 16,329.60 × 6,505.20
  4. Step 4: Simplify right side
    10,900.80x = 106,227,313.92
  5. Step 5: Solve for x
    x = 106,227,313.92/10,900.80
  6. Step 6: Final answer
    x = 9,744.91

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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.