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Finding the Fourth Proportional to 6,363.36, 9,540 and 2,898.72

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Solution

The fourth proportional to 6,363.36, 9,540 and 2,898.72 is: 4,345.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,363.36 : 9,540 = 2,898.72 : x
  2. Step 2: Convert to fraction form
    6,363.36/9,540 = 2,898.72/x
  3. Step 3: Cross multiply
    6,363.36x = 9,540 × 2,898.72
  4. Step 4: Simplify right side
    6,363.36x = 27,653,788.80
  5. Step 5: Solve for x
    x = 27,653,788.80/6,363.36
  6. Step 6: Final answer
    x = 4,345.78

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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.