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Finding the Fourth Proportional to 5,398.72, 8,080.80 and 4,812.64

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Solution

The fourth proportional to 5,398.72, 8,080.80 and 4,812.64 is: 7,203.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,398.72 : 8,080.80 = 4,812.64 : x
  2. Step 2: Convert to fraction form
    5,398.72/8,080.80 = 4,812.64/x
  3. Step 3: Cross multiply
    5,398.72x = 8,080.80 × 4,812.64
  4. Step 4: Simplify right side
    5,398.72x = 38,889,981.31
  5. Step 5: Solve for x
    x = 38,889,981.31/5,398.72
  6. Step 6: Final answer
    x = 7,203.56

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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.