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Finding the Fourth Proportional to 2,920.08, 4,029.72 and 1,678

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Solution

The fourth proportional to 2,920.08, 4,029.72 and 1,678 is: 2,315.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,920.08 : 4,029.72 = 1,678 : x
  2. Step 2: Convert to fraction form
    2,920.08/4,029.72 = 1,678/x
  3. Step 3: Cross multiply
    2,920.08x = 4,029.72 × 1,678
  4. Step 4: Simplify right side
    2,920.08x = 6,761,870.16
  5. Step 5: Solve for x
    x = 6,761,870.16/2,920.08
  6. Step 6: Final answer
    x = 2,315.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.