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Finding the Fourth Proportional to 2,814.55, 3,874.03 and 2,337.20

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Solution

The fourth proportional to 2,814.55, 3,874.03 and 2,337.20 is: 3,217.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,814.55 : 3,874.03 = 2,337.20 : x
  2. Step 2: Convert to fraction form
    2,814.55/3,874.03 = 2,337.20/x
  3. Step 3: Cross multiply
    2,814.55x = 3,874.03 × 2,337.20
  4. Step 4: Simplify right side
    2,814.55x = 9,054,394.02
  5. Step 5: Solve for x
    x = 9,054,394.02/2,814.55
  6. Step 6: Final answer
    x = 3,217.00

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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.