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Finding the Fourth Proportional to 5,606.64, 8,405.84 and 2,687

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Solution

The fourth proportional to 5,606.64, 8,405.84 and 2,687 is: 4,028.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,606.64 : 8,405.84 = 2,687 : x
  2. Step 2: Convert to fraction form
    5,606.64/8,405.84 = 2,687/x
  3. Step 3: Cross multiply
    5,606.64x = 8,405.84 × 2,687
  4. Step 4: Simplify right side
    5,606.64x = 22,586,492.08
  5. Step 5: Solve for x
    x = 22,586,492.08/5,606.64
  6. Step 6: Final answer
    x = 4,028.53

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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.