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Finding the Fourth Proportional to 5,671.32, 7,826.46 and 3,312.99

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Solution

The fourth proportional to 5,671.32, 7,826.46 and 3,312.99 is: 4,571.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,671.32 : 7,826.46 = 3,312.99 : x
  2. Step 2: Convert to fraction form
    5,671.32/7,826.46 = 3,312.99/x
  3. Step 3: Cross multiply
    5,671.32x = 7,826.46 × 3,312.99
  4. Step 4: Simplify right side
    5,671.32x = 25,928,983.72
  5. Step 5: Solve for x
    x = 25,928,983.72/5,671.32
  6. Step 6: Final answer
    x = 4,571.95

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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.