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Finding the Fourth Proportional to 2,715.68, 4,074.56 and 1,156

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Solution

The fourth proportional to 2,715.68, 4,074.56 and 1,156 is: 1,734.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,715.68 : 4,074.56 = 1,156 : x
  2. Step 2: Convert to fraction form
    2,715.68/4,074.56 = 1,156/x
  3. Step 3: Cross multiply
    2,715.68x = 4,074.56 × 1,156
  4. Step 4: Simplify right side
    2,715.68x = 4,710,191.36
  5. Step 5: Solve for x
    x = 4,710,191.36/2,715.68
  6. Step 6: Final answer
    x = 1,734.44

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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.