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Finding the Fourth Proportional to 5,215.86, 7,823.82 and 1,753.11

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Solution

The fourth proportional to 5,215.86, 7,823.82 and 1,753.11 is: 2,629.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,215.86 : 7,823.82 = 1,753.11 : x
  2. Step 2: Convert to fraction form
    5,215.86/7,823.82 = 1,753.11/x
  3. Step 3: Cross multiply
    5,215.86x = 7,823.82 × 1,753.11
  4. Step 4: Simplify right side
    5,215.86x = 13,716,023.65
  5. Step 5: Solve for x
    x = 13,716,023.65/5,215.86
  6. Step 6: Final answer
    x = 2,629.68

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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.