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Finding the Fourth Proportional to 2,758.76, 4,138.02 and 678.68

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Solution

The fourth proportional to 2,758.76, 4,138.02 and 678.68 is: 1,017.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,758.76 : 4,138.02 = 678.68 : x
  2. Step 2: Convert to fraction form
    2,758.76/4,138.02 = 678.68/x
  3. Step 3: Cross multiply
    2,758.76x = 4,138.02 × 678.68
  4. Step 4: Simplify right side
    2,758.76x = 2,808,386.24
  5. Step 5: Solve for x
    x = 2,808,386.24/2,758.76
  6. Step 6: Final answer
    x = 1,017.99

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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.