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Finding the Fourth Proportional to 9,792.78, 13,511.94 and 5,815.20

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Solution

The fourth proportional to 9,792.78, 13,511.94 and 5,815.20 is: 8,023.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,792.78 : 13,511.94 = 5,815.20 : x
  2. Step 2: Convert to fraction form
    9,792.78/13,511.94 = 5,815.20/x
  3. Step 3: Cross multiply
    9,792.78x = 13,511.94 × 5,815.20
  4. Step 4: Simplify right side
    9,792.78x = 78,574,633.49
  5. Step 5: Solve for x
    x = 78,574,633.49/9,792.78
  6. Step 6: Final answer
    x = 8,023.73

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1.5x scale

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.