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Finding the Fourth Proportional to 3,064.38, 4,228.38 and 1,805.10

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Solution

The fourth proportional to 3,064.38, 4,228.38 and 1,805.10 is: 2,490.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,064.38 : 4,228.38 = 1,805.10 : x
  2. Step 2: Convert to fraction form
    3,064.38/4,228.38 = 1,805.10/x
  3. Step 3: Cross multiply
    3,064.38x = 4,228.38 × 1,805.10
  4. Step 4: Simplify right side
    3,064.38x = 7,632,648.74
  5. Step 5: Solve for x
    x = 7,632,648.74/3,064.38
  6. Step 6: Final answer
    x = 2,490.76

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Half scale
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Find fourth proportional to 3,065.38, 4,229.76 and 1,806.10
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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.