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Finding the Fourth Proportional to 5,297.79, 7,949.25 and 2,180.10

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Solution

The fourth proportional to 5,297.79, 7,949.25 and 2,180.10 is: 3,271.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,297.79 : 7,949.25 = 2,180.10 : x
  2. Step 2: Convert to fraction form
    5,297.79/7,949.25 = 2,180.10/x
  3. Step 3: Cross multiply
    5,297.79x = 7,949.25 × 2,180.10
  4. Step 4: Simplify right side
    5,297.79x = 17,330,159.93
  5. Step 5: Solve for x
    x = 17,330,159.93/5,297.79
  6. Step 6: Final answer
    x = 3,271.21

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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.