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Finding the Fourth Proportional to 3,129.80, 4,319.10 and 1,803.50

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Solution

The fourth proportional to 3,129.80, 4,319.10 and 1,803.50 is: 2,488.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,129.80 : 4,319.10 = 1,803.50 : x
  2. Step 2: Convert to fraction form
    3,129.80/4,319.10 = 1,803.50/x
  3. Step 3: Cross multiply
    3,129.80x = 4,319.10 × 1,803.50
  4. Step 4: Simplify right side
    3,129.80x = 7,789,496.85
  5. Step 5: Solve for x
    x = 7,789,496.85/3,129.80
  6. Step 6: Final answer
    x = 2,488.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.