Home / 4,209.80-6,314.70-1,288.16

Finding the Fourth Proportional to 4,209.80, 6,314.70 and 1,288.16

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Solution

The fourth proportional to 4,209.80, 6,314.70 and 1,288.16 is: 1,932.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,209.80 : 6,314.70 = 1,288.16 : x
  2. Step 2: Convert to fraction form
    4,209.80/6,314.70 = 1,288.16/x
  3. Step 3: Cross multiply
    4,209.80x = 6,314.70 × 1,288.16
  4. Step 4: Simplify right side
    4,209.80x = 8,134,343.95
  5. Step 5: Solve for x
    x = 8,134,343.95/4,209.80
  6. Step 6: Final answer
    x = 1,932.24

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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.