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Finding the Fourth Proportional to 5,684.56, 8,525.68 and 1,987

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Solution

The fourth proportional to 5,684.56, 8,525.68 and 1,987 is: 2,980.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,684.56 : 8,525.68 = 1,987 : x
  2. Step 2: Convert to fraction form
    5,684.56/8,525.68 = 1,987/x
  3. Step 3: Cross multiply
    5,684.56x = 8,525.68 × 1,987
  4. Step 4: Simplify right side
    5,684.56x = 16,940,526.16
  5. Step 5: Solve for x
    x = 16,940,526.16/5,684.56
  6. Step 6: Final answer
    x = 2,980.09

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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.