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Finding the Fourth Proportional to 1,136.91, 1,568.08 and 1,003.89

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Solution

The fourth proportional to 1,136.91, 1,568.08 and 1,003.89 is: 1,384.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,136.91 : 1,568.08 = 1,003.89 : x
  2. Step 2: Convert to fraction form
    1,136.91/1,568.08 = 1,003.89/x
  3. Step 3: Cross multiply
    1,136.91x = 1,568.08 × 1,003.89
  4. Step 4: Simplify right side
    1,136.91x = 1,574,186.48
  5. Step 5: Solve for x
    x = 1,574,186.48/1,136.91
  6. Step 6: Final answer
    x = 1,384.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.