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Finding the Fourth Proportional to 2,715.84, 4,068 and 2,686.32

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Solution

The fourth proportional to 2,715.84, 4,068 and 2,686.32 is: 4,023.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,715.84 : 4,068 = 2,686.32 : x
  2. Step 2: Convert to fraction form
    2,715.84/4,068 = 2,686.32/x
  3. Step 3: Cross multiply
    2,715.84x = 4,068 × 2,686.32
  4. Step 4: Simplify right side
    2,715.84x = 10,927,949.76
  5. Step 5: Solve for x
    x = 10,927,949.76/2,715.84
  6. Step 6: Final answer
    x = 4,023.78

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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.