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Finding the Fourth Proportional to 3,719.42, 5,580.16 and 3,024.37

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Solution

The fourth proportional to 3,719.42, 5,580.16 and 3,024.37 is: 4,537.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,719.42 : 5,580.16 = 3,024.37 : x
  2. Step 2: Convert to fraction form
    3,719.42/5,580.16 = 3,024.37/x
  3. Step 3: Cross multiply
    3,719.42x = 5,580.16 × 3,024.37
  4. Step 4: Simplify right side
    3,719.42x = 16,876,468.50
  5. Step 5: Solve for x
    x = 16,876,468.50/3,719.42
  6. Step 6: Final answer
    x = 4,537.40

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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.