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Finding the Fourth Proportional to 2,113.12, 3,169.62 and 814.87

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Solution

The fourth proportional to 2,113.12, 3,169.62 and 814.87 is: 1,222.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,113.12 : 3,169.62 = 814.87 : x
  2. Step 2: Convert to fraction form
    2,113.12/3,169.62 = 814.87/x
  3. Step 3: Cross multiply
    2,113.12x = 3,169.62 × 814.87
  4. Step 4: Simplify right side
    2,113.12x = 2,582,828.25
  5. Step 5: Solve for x
    x = 2,582,828.25/2,113.12
  6. Step 6: Final answer
    x = 1,222.28

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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.