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Finding the Fourth Proportional to 5,807.34, 8,711.04 and 2,109.57

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Solution

The fourth proportional to 5,807.34, 8,711.04 and 2,109.57 is: 3,164.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,807.34 : 8,711.04 = 2,109.57 : x
  2. Step 2: Convert to fraction form
    5,807.34/8,711.04 = 2,109.57/x
  3. Step 3: Cross multiply
    5,807.34x = 8,711.04 × 2,109.57
  4. Step 4: Simplify right side
    5,807.34x = 18,376,548.65
  5. Step 5: Solve for x
    x = 18,376,548.65/5,807.34
  6. Step 6: Final answer
    x = 3,164.37

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1.5x scale

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.