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Finding the Fourth Proportional to 6,486.48, 9,722.43 and 2,788.02

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Solution

The fourth proportional to 6,486.48, 9,722.43 and 2,788.02 is: 4,178.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,486.48 : 9,722.43 = 2,788.02 : x
  2. Step 2: Convert to fraction form
    6,486.48/9,722.43 = 2,788.02/x
  3. Step 3: Cross multiply
    6,486.48x = 9,722.43 × 2,788.02
  4. Step 4: Simplify right side
    6,486.48x = 27,106,329.29
  5. Step 5: Solve for x
    x = 27,106,329.29/6,486.48
  6. Step 6: Final answer
    x = 4,178.90

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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.