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Finding the Fourth Proportional to 5,571, 7,688.52 and 3,087

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Solution

The fourth proportional to 5,571, 7,688.52 and 3,087 is: 4,260.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,571 : 7,688.52 = 3,087 : x
  2. Step 2: Convert to fraction form
    5,571/7,688.52 = 3,087/x
  3. Step 3: Cross multiply
    5,571x = 7,688.52 × 3,087
  4. Step 4: Simplify right side
    5,571x = 23,734,461.24
  5. Step 5: Solve for x
    x = 23,734,461.24/5,571
  6. Step 6: Final answer
    x = 4,260.36

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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.