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Finding the Fourth Proportional to 2,853.93, 4,280.85 and 906.11

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Solution

The fourth proportional to 2,853.93, 4,280.85 and 906.11 is: 1,359.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,853.93 : 4,280.85 = 906.11 : x
  2. Step 2: Convert to fraction form
    2,853.93/4,280.85 = 906.11/x
  3. Step 3: Cross multiply
    2,853.93x = 4,280.85 × 906.11
  4. Step 4: Simplify right side
    2,853.93x = 3,878,899.59
  5. Step 5: Solve for x
    x = 3,878,899.59/2,853.93
  6. Step 6: Final answer
    x = 1,359.14

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Double scale
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Similar ratio
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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.