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Finding the Fourth Proportional to 5,385.82, 8,078.78 and 4,653.22

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Solution

The fourth proportional to 5,385.82, 8,078.78 and 4,653.22 is: 6,979.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,385.82 : 8,078.78 = 4,653.22 : x
  2. Step 2: Convert to fraction form
    5,385.82/8,078.78 = 4,653.22/x
  3. Step 3: Cross multiply
    5,385.82x = 8,078.78 × 4,653.22
  4. Step 4: Simplify right side
    5,385.82x = 37,592,340.67
  5. Step 5: Solve for x
    x = 37,592,340.67/5,385.82
  6. Step 6: Final answer
    x = 6,979.87

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1.5x scale

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.