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Finding the Fourth Proportional to 3,898.86, 5,833.95 and 3,687.76

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Solution

The fourth proportional to 3,898.86, 5,833.95 and 3,687.76 is: 5,518.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,898.86 : 5,833.95 = 3,687.76 : x
  2. Step 2: Convert to fraction form
    3,898.86/5,833.95 = 3,687.76/x
  3. Step 3: Cross multiply
    3,898.86x = 5,833.95 × 3,687.76
  4. Step 4: Simplify right side
    3,898.86x = 21,514,207.45
  5. Step 5: Solve for x
    x = 21,514,207.45/3,898.86
  6. Step 6: Final answer
    x = 5,518.08

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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.