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Finding the Fourth Proportional to 7,894.95, 11,842.43 and 3,217.51

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Solution

The fourth proportional to 7,894.95, 11,842.43 and 3,217.51 is: 4,826.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,894.95 : 11,842.43 = 3,217.51 : x
  2. Step 2: Convert to fraction form
    7,894.95/11,842.43 = 3,217.51/x
  3. Step 3: Cross multiply
    7,894.95x = 11,842.43 × 3,217.51
  4. Step 4: Simplify right side
    7,894.95x = 38,103,136.95
  5. Step 5: Solve for x
    x = 38,103,136.95/7,894.95
  6. Step 6: Final answer
    x = 4,826.27

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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.