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Finding the Fourth Proportional to 2,938.32, 4,407.05 and 857.77

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Solution

The fourth proportional to 2,938.32, 4,407.05 and 857.77 is: 1,286.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,938.32 : 4,407.05 = 857.77 : x
  2. Step 2: Convert to fraction form
    2,938.32/4,407.05 = 857.77/x
  3. Step 3: Cross multiply
    2,938.32x = 4,407.05 × 857.77
  4. Step 4: Simplify right side
    2,938.32x = 3,780,226.41
  5. Step 5: Solve for x
    x = 3,780,226.41/2,938.32
  6. Step 6: Final answer
    x = 1,286.53

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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.