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Finding the Fourth Proportional to 1,889.62, 2,834.42 and 503.10

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Solution

The fourth proportional to 1,889.62, 2,834.42 and 503.10 is: 754.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,889.62 : 2,834.42 = 503.10 : x
  2. Step 2: Convert to fraction form
    1,889.62/2,834.42 = 503.10/x
  3. Step 3: Cross multiply
    1,889.62x = 2,834.42 × 503.10
  4. Step 4: Simplify right side
    1,889.62x = 1,425,982.53
  5. Step 5: Solve for x
    x = 1,425,982.53/1,889.62
  6. Step 6: Final answer
    x = 754.64

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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.