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Finding the Fourth Proportional to 3,211.66, 4,817.49 and 903.16

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Solution

The fourth proportional to 3,211.66, 4,817.49 and 903.16 is: 1,354.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,211.66 : 4,817.49 = 903.16 : x
  2. Step 2: Convert to fraction form
    3,211.66/4,817.49 = 903.16/x
  3. Step 3: Cross multiply
    3,211.66x = 4,817.49 × 903.16
  4. Step 4: Simplify right side
    3,211.66x = 4,350,947.71
  5. Step 5: Solve for x
    x = 4,350,947.71/3,211.66
  6. Step 6: Final answer
    x = 1,354.74

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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.