Home / 2,113.13-3,167.80-814.30

Finding the Fourth Proportional to 2,113.13, 3,167.80 and 814.30

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Solution

The fourth proportional to 2,113.13, 3,167.80 and 814.30 is: 1,220.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,113.13 : 3,167.80 = 814.30 : x
  2. Step 2: Convert to fraction form
    2,113.13/3,167.80 = 814.30/x
  3. Step 3: Cross multiply
    2,113.13x = 3,167.80 × 814.30
  4. Step 4: Simplify right side
    2,113.13x = 2,579,539.54
  5. Step 5: Solve for x
    x = 2,579,539.54/2,113.13
  6. Step 6: Final answer
    x = 1,220.72

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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.