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Finding the Fourth Proportional to 5,721.77, 8,580.40 and 3,873.42

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Solution

The fourth proportional to 5,721.77, 8,580.40 and 3,873.42 is: 5,808.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,721.77 : 8,580.40 = 3,873.42 : x
  2. Step 2: Convert to fraction form
    5,721.77/8,580.40 = 3,873.42/x
  3. Step 3: Cross multiply
    5,721.77x = 8,580.40 × 3,873.42
  4. Step 4: Simplify right side
    5,721.77x = 33,235,483.28
  5. Step 5: Solve for x
    x = 33,235,483.28/5,721.77
  6. Step 6: Final answer
    x = 5,808.60

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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.