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Finding the Fourth Proportional to 5,787.62, 8,681.50 and 1,405.10

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Solution

The fourth proportional to 5,787.62, 8,681.50 and 1,405.10 is: 2,107.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,787.62 : 8,681.50 = 1,405.10 : x
  2. Step 2: Convert to fraction form
    5,787.62/8,681.50 = 1,405.10/x
  3. Step 3: Cross multiply
    5,787.62x = 8,681.50 × 1,405.10
  4. Step 4: Simplify right side
    5,787.62x = 12,198,375.65
  5. Step 5: Solve for x
    x = 12,198,375.65/5,787.62
  6. Step 6: Final answer
    x = 2,107.67

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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.