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Finding the Fourth Proportional to 3,854, 5,318.47 and 2,085.57

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Solution

The fourth proportional to 3,854, 5,318.47 and 2,085.57 is: 2,878.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,854 : 5,318.47 = 2,085.57 : x
  2. Step 2: Convert to fraction form
    3,854/5,318.47 = 2,085.57/x
  3. Step 3: Cross multiply
    3,854x = 5,318.47 × 2,085.57
  4. Step 4: Simplify right side
    3,854x = 11,092,041.48
  5. Step 5: Solve for x
    x = 11,092,041.48/3,854
  6. Step 6: Final answer
    x = 2,878.06

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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.