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Finding the Fourth Proportional to 5,095.44, 7,639.06 and 2,905.20

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Solution

The fourth proportional to 5,095.44, 7,639.06 and 2,905.20 is: 4,355.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,095.44 : 7,639.06 = 2,905.20 : x
  2. Step 2: Convert to fraction form
    5,095.44/7,639.06 = 2,905.20/x
  3. Step 3: Cross multiply
    5,095.44x = 7,639.06 × 2,905.20
  4. Step 4: Simplify right side
    5,095.44x = 22,192,997.11
  5. Step 5: Solve for x
    x = 22,192,997.11/5,095.44
  6. Step 6: Final answer
    x = 4,355.46

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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.