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Finding the Fourth Proportional to 3,200.99, 4,800.67 and 1,009.53

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Solution

The fourth proportional to 3,200.99, 4,800.67 and 1,009.53 is: 1,514.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,200.99 : 4,800.67 = 1,009.53 : x
  2. Step 2: Convert to fraction form
    3,200.99/4,800.67 = 1,009.53/x
  3. Step 3: Cross multiply
    3,200.99x = 4,800.67 × 1,009.53
  4. Step 4: Simplify right side
    3,200.99x = 4,846,417.86
  5. Step 5: Solve for x
    x = 4,846,417.86/3,200.99
  6. Step 6: Final answer
    x = 1,514.04

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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.