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Finding the Fourth Proportional to 5,188.42, 7,772.22 and 2,411.28

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Solution

The fourth proportional to 5,188.42, 7,772.22 and 2,411.28 is: 3,612.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,188.42 : 7,772.22 = 2,411.28 : x
  2. Step 2: Convert to fraction form
    5,188.42/7,772.22 = 2,411.28/x
  3. Step 3: Cross multiply
    5,188.42x = 7,772.22 × 2,411.28
  4. Step 4: Simplify right side
    5,188.42x = 18,740,998.64
  5. Step 5: Solve for x
    x = 18,740,998.64/5,188.42
  6. Step 6: Final answer
    x = 3,612.08

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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.