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Finding the Fourth Proportional to 5,641.62, 8,457.84 and 3,787.08

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Solution

The fourth proportional to 5,641.62, 8,457.84 and 3,787.08 is: 5,677.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,641.62 : 8,457.84 = 3,787.08 : x
  2. Step 2: Convert to fraction form
    5,641.62/8,457.84 = 3,787.08/x
  3. Step 3: Cross multiply
    5,641.62x = 8,457.84 × 3,787.08
  4. Step 4: Simplify right side
    5,641.62x = 32,030,516.71
  5. Step 5: Solve for x
    x = 32,030,516.71/5,641.62
  6. Step 6: Final answer
    x = 5,677.54

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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.