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Finding the Fourth Proportional to 6,354.48, 8,769.12 and 3,560

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Solution

The fourth proportional to 6,354.48, 8,769.12 and 3,560 is: 4,912.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,354.48 : 8,769.12 = 3,560 : x
  2. Step 2: Convert to fraction form
    6,354.48/8,769.12 = 3,560/x
  3. Step 3: Cross multiply
    6,354.48x = 8,769.12 × 3,560
  4. Step 4: Simplify right side
    6,354.48x = 31,218,067.20
  5. Step 5: Solve for x
    x = 31,218,067.20/6,354.48
  6. Step 6: Final answer
    x = 4,912.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.