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Finding the Fourth Proportional to 3,114.91, 4,672.64 and 893.76

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Solution

The fourth proportional to 3,114.91, 4,672.64 and 893.76 is: 1,340.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,114.91 : 4,672.64 = 893.76 : x
  2. Step 2: Convert to fraction form
    3,114.91/4,672.64 = 893.76/x
  3. Step 3: Cross multiply
    3,114.91x = 4,672.64 × 893.76
  4. Step 4: Simplify right side
    3,114.91x = 4,176,218.73
  5. Step 5: Solve for x
    x = 4,176,218.73/3,114.91
  6. Step 6: Final answer
    x = 1,340.72

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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.