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Finding the Fourth Proportional to 2,937.71, 4,407.24 and 857.67

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Solution

The fourth proportional to 2,937.71, 4,407.24 and 857.67 is: 1,286.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,937.71 : 4,407.24 = 857.67 : x
  2. Step 2: Convert to fraction form
    2,937.71/4,407.24 = 857.67/x
  3. Step 3: Cross multiply
    2,937.71x = 4,407.24 × 857.67
  4. Step 4: Simplify right side
    2,937.71x = 3,779,944.22
  5. Step 5: Solve for x
    x = 3,779,944.22/2,937.71
  6. Step 6: Final answer
    x = 1,286.70

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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.