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Finding the Fourth Proportional to 5,687.76, 8,530.80 and 1,989.72

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Solution

The fourth proportional to 5,687.76, 8,530.80 and 1,989.72 is: 2,984.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,687.76 : 8,530.80 = 1,989.72 : x
  2. Step 2: Convert to fraction form
    5,687.76/8,530.80 = 1,989.72/x
  3. Step 3: Cross multiply
    5,687.76x = 8,530.80 × 1,989.72
  4. Step 4: Simplify right side
    5,687.76x = 16,973,903.38
  5. Step 5: Solve for x
    x = 16,973,903.38/5,687.76
  6. Step 6: Final answer
    x = 2,984.29

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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.