Home / 2,209.12-3,313.80-975.94

Finding the Fourth Proportional to 2,209.12, 3,313.80 and 975.94

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Solution

The fourth proportional to 2,209.12, 3,313.80 and 975.94 is: 1,463.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,209.12 : 3,313.80 = 975.94 : x
  2. Step 2: Convert to fraction form
    2,209.12/3,313.80 = 975.94/x
  3. Step 3: Cross multiply
    2,209.12x = 3,313.80 × 975.94
  4. Step 4: Simplify right side
    2,209.12x = 3,234,069.97
  5. Step 5: Solve for x
    x = 3,234,069.97/2,209.12
  6. Step 6: Final answer
    x = 1,463.96

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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.