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Finding the Fourth Proportional to 5,689.64, 8,539.23 and 2,918.97

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Solution

The fourth proportional to 5,689.64, 8,539.23 and 2,918.97 is: 4,380.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,689.64 : 8,539.23 = 2,918.97 : x
  2. Step 2: Convert to fraction form
    5,689.64/8,539.23 = 2,918.97/x
  3. Step 3: Cross multiply
    5,689.64x = 8,539.23 × 2,918.97
  4. Step 4: Simplify right side
    5,689.64x = 24,925,756.19
  5. Step 5: Solve for x
    x = 24,925,756.19/5,689.64
  6. Step 6: Final answer
    x = 4,380.91

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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.