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Finding the Fourth Proportional to 5,696.40, 8,549.40 and 2,777.20

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Solution

The fourth proportional to 5,696.40, 8,549.40 and 2,777.20 is: 4,168.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,696.40 : 8,549.40 = 2,777.20 : x
  2. Step 2: Convert to fraction form
    5,696.40/8,549.40 = 2,777.20/x
  3. Step 3: Cross multiply
    5,696.40x = 8,549.40 × 2,777.20
  4. Step 4: Simplify right side
    5,696.40x = 23,743,393.68
  5. Step 5: Solve for x
    x = 23,743,393.68/5,696.40
  6. Step 6: Final answer
    x = 4,168.14

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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.