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Finding the Fourth Proportional to 1,364.82, 2,048 and 1,136.47

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Solution

The fourth proportional to 1,364.82, 2,048 and 1,136.47 is: 1,705.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,364.82 : 2,048 = 1,136.47 : x
  2. Step 2: Convert to fraction form
    1,364.82/2,048 = 1,136.47/x
  3. Step 3: Cross multiply
    1,364.82x = 2,048 × 1,136.47
  4. Step 4: Simplify right side
    1,364.82x = 2,327,490.56
  5. Step 5: Solve for x
    x = 2,327,490.56/1,364.82
  6. Step 6: Final answer
    x = 1,705.35

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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.