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Finding the Fourth Proportional to 3,246.78, 4,870.20 and 938.28

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Solution

The fourth proportional to 3,246.78, 4,870.20 and 938.28 is: 1,407.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,246.78 : 4,870.20 = 938.28 : x
  2. Step 2: Convert to fraction form
    3,246.78/4,870.20 = 938.28/x
  3. Step 3: Cross multiply
    3,246.78x = 4,870.20 × 938.28
  4. Step 4: Simplify right side
    3,246.78x = 4,569,611.26
  5. Step 5: Solve for x
    x = 4,569,611.26/3,246.78
  6. Step 6: Final answer
    x = 1,407.43

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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.