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Finding the Fourth Proportional to 2,225.66, 3,337.90 and 838.90

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Solution

The fourth proportional to 2,225.66, 3,337.90 and 838.90 is: 1,258.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,225.66 : 3,337.90 = 838.90 : x
  2. Step 2: Convert to fraction form
    2,225.66/3,337.90 = 838.90/x
  3. Step 3: Cross multiply
    2,225.66x = 3,337.90 × 838.90
  4. Step 4: Simplify right side
    2,225.66x = 2,800,164.31
  5. Step 5: Solve for x
    x = 2,800,164.31/2,225.66
  6. Step 6: Final answer
    x = 1,258.13

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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.