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Finding the Fourth Proportional to 5,186.99, 7,788.32 and 4,143.89

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Solution

The fourth proportional to 5,186.99, 7,788.32 and 4,143.89 is: 6,222.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,186.99 : 7,788.32 = 4,143.89 : x
  2. Step 2: Convert to fraction form
    5,186.99/7,788.32 = 4,143.89/x
  3. Step 3: Cross multiply
    5,186.99x = 7,788.32 × 4,143.89
  4. Step 4: Simplify right side
    5,186.99x = 32,273,955.66
  5. Step 5: Solve for x
    x = 32,273,955.66/5,186.99
  6. Step 6: Final answer
    x = 6,222.10

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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.