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Finding the Fourth Proportional to 3,209.88, 4,430.44 and 1,813.44

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Solution

The fourth proportional to 3,209.88, 4,430.44 and 1,813.44 is: 2,503.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,209.88 : 4,430.44 = 1,813.44 : x
  2. Step 2: Convert to fraction form
    3,209.88/4,430.44 = 1,813.44/x
  3. Step 3: Cross multiply
    3,209.88x = 4,430.44 × 1,813.44
  4. Step 4: Simplify right side
    3,209.88x = 8,034,337.11
  5. Step 5: Solve for x
    x = 8,034,337.11/3,209.88
  6. Step 6: Final answer
    x = 2,503.00

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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.