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Finding the Fourth Proportional to 2,658.94, 3,671.49 and 2,378.68

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Solution

The fourth proportional to 2,658.94, 3,671.49 and 2,378.68 is: 3,284.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,658.94 : 3,671.49 = 2,378.68 : x
  2. Step 2: Convert to fraction form
    2,658.94/3,671.49 = 2,378.68/x
  3. Step 3: Cross multiply
    2,658.94x = 3,671.49 × 2,378.68
  4. Step 4: Simplify right side
    2,658.94x = 8,733,299.83
  5. Step 5: Solve for x
    x = 8,733,299.83/2,658.94
  6. Step 6: Final answer
    x = 3,284.50

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1.5x scale

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.