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Finding the Fourth Proportional to 6,478.79, 9,719.12 and 3,192.08

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Solution

The fourth proportional to 6,478.79, 9,719.12 and 3,192.08 is: 4,788.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,478.79 : 9,719.12 = 3,192.08 : x
  2. Step 2: Convert to fraction form
    6,478.79/9,719.12 = 3,192.08/x
  3. Step 3: Cross multiply
    6,478.79x = 9,719.12 × 3,192.08
  4. Step 4: Simplify right side
    6,478.79x = 31,024,167.95
  5. Step 5: Solve for x
    x = 31,024,167.95/6,478.79
  6. Step 6: Final answer
    x = 4,788.58

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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.