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Finding the Fourth Proportional to 2,491.85, 3,737.99 and 642.95

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Solution

The fourth proportional to 2,491.85, 3,737.99 and 642.95 is: 964.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,491.85 : 3,737.99 = 642.95 : x
  2. Step 2: Convert to fraction form
    2,491.85/3,737.99 = 642.95/x
  3. Step 3: Cross multiply
    2,491.85x = 3,737.99 × 642.95
  4. Step 4: Simplify right side
    2,491.85x = 2,403,318.77
  5. Step 5: Solve for x
    x = 2,403,318.77/2,491.85
  6. Step 6: Final answer
    x = 964.47

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1.5x scale

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.