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Finding the Fourth Proportional to 5,360, 7,396.20 and 3,001.80

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Solution

The fourth proportional to 5,360, 7,396.20 and 3,001.80 is: 4,142.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,360 : 7,396.20 = 3,001.80 : x
  2. Step 2: Convert to fraction form
    5,360/7,396.20 = 3,001.80/x
  3. Step 3: Cross multiply
    5,360x = 7,396.20 × 3,001.80
  4. Step 4: Simplify right side
    5,360x = 22,201,913.16
  5. Step 5: Solve for x
    x = 22,201,913.16/5,360
  6. Step 6: Final answer
    x = 4,142.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.