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Finding the Fourth Proportional to 2,854, 4,277.28 and 1,293.88

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Solution

The fourth proportional to 2,854, 4,277.28 and 1,293.88 is: 1,939.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,854 : 4,277.28 = 1,293.88 : x
  2. Step 2: Convert to fraction form
    2,854/4,277.28 = 1,293.88/x
  3. Step 3: Cross multiply
    2,854x = 4,277.28 × 1,293.88
  4. Step 4: Simplify right side
    2,854x = 5,534,287.05
  5. Step 5: Solve for x
    x = 5,534,287.05/2,854
  6. Step 6: Final answer
    x = 1,939.13

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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.