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Finding the Fourth Proportional to 4,920.75, 7,382.34 and 1,458

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Solution

The fourth proportional to 4,920.75, 7,382.34 and 1,458 is: 2,187.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,920.75 : 7,382.34 = 1,458 : x
  2. Step 2: Convert to fraction form
    4,920.75/7,382.34 = 1,458/x
  3. Step 3: Cross multiply
    4,920.75x = 7,382.34 × 1,458
  4. Step 4: Simplify right side
    4,920.75x = 10,763,451.72
  5. Step 5: Solve for x
    x = 10,763,451.72/4,920.75
  6. Step 6: Final answer
    x = 2,187.36

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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.