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Finding the Fourth Proportional to 3,136.95, 4,701.85 and 1,491.17

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Solution

The fourth proportional to 3,136.95, 4,701.85 and 1,491.17 is: 2,235.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,136.95 : 4,701.85 = 1,491.17 : x
  2. Step 2: Convert to fraction form
    3,136.95/4,701.85 = 1,491.17/x
  3. Step 3: Cross multiply
    3,136.95x = 4,701.85 × 1,491.17
  4. Step 4: Simplify right side
    3,136.95x = 7,011,230.43
  5. Step 5: Solve for x
    x = 7,011,230.43/3,136.95
  6. Step 6: Final answer
    x = 2,235.05

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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.