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Finding the Fourth Proportional to 5,594.78, 7,720.90 and 3,077

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Solution

The fourth proportional to 5,594.78, 7,720.90 and 3,077 is: 4,246.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,594.78 : 7,720.90 = 3,077 : x
  2. Step 2: Convert to fraction form
    5,594.78/7,720.90 = 3,077/x
  3. Step 3: Cross multiply
    5,594.78x = 7,720.90 × 3,077
  4. Step 4: Simplify right side
    5,594.78x = 23,757,209.30
  5. Step 5: Solve for x
    x = 23,757,209.30/5,594.78
  6. Step 6: Final answer
    x = 4,246.32

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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.