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Finding the Fourth Proportional to 1,136.50, 1,695.55 and 1,027.15

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Solution

The fourth proportional to 1,136.50, 1,695.55 and 1,027.15 is: 1,532.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,136.50 : 1,695.55 = 1,027.15 : x
  2. Step 2: Convert to fraction form
    1,136.50/1,695.55 = 1,027.15/x
  3. Step 3: Cross multiply
    1,136.50x = 1,695.55 × 1,027.15
  4. Step 4: Simplify right side
    1,136.50x = 1,741,584.18
  5. Step 5: Solve for x
    x = 1,741,584.18/1,136.50
  6. Step 6: Final answer
    x = 1,532.41

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.