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Finding the Fourth Proportional to 2,498.32, 3,747.42 and 856

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Solution

The fourth proportional to 2,498.32, 3,747.42 and 856 is: 1,283.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,498.32 : 3,747.42 = 856 : x
  2. Step 2: Convert to fraction form
    2,498.32/3,747.42 = 856/x
  3. Step 3: Cross multiply
    2,498.32x = 3,747.42 × 856
  4. Step 4: Simplify right side
    2,498.32x = 3,207,791.52
  5. Step 5: Solve for x
    x = 3,207,791.52/2,498.32
  6. Step 6: Final answer
    x = 1,283.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.