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Finding the Fourth Proportional to 2,854, 4,282.80 and 1,122.72

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Solution

The fourth proportional to 2,854, 4,282.80 and 1,122.72 is: 1,684.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,854 : 4,282.80 = 1,122.72 : x
  2. Step 2: Convert to fraction form
    2,854/4,282.80 = 1,122.72/x
  3. Step 3: Cross multiply
    2,854x = 4,282.80 × 1,122.72
  4. Step 4: Simplify right side
    2,854x = 4,808,385.22
  5. Step 5: Solve for x
    x = 4,808,385.22/2,854
  6. Step 6: Final answer
    x = 1,684.79

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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.