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Finding the Fourth Proportional to 5,108.16, 7,662.16 and 2,798.40

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Solution

The fourth proportional to 5,108.16, 7,662.16 and 2,798.40 is: 4,197.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,108.16 : 7,662.16 = 2,798.40 : x
  2. Step 2: Convert to fraction form
    5,108.16/7,662.16 = 2,798.40/x
  3. Step 3: Cross multiply
    5,108.16x = 7,662.16 × 2,798.40
  4. Step 4: Simplify right side
    5,108.16x = 21,441,788.54
  5. Step 5: Solve for x
    x = 21,441,788.54/5,108.16
  6. Step 6: Final answer
    x = 4,197.56

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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.