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Finding the Fourth Proportional to 3,113.88, 4,671.50 and 922.78

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Solution

The fourth proportional to 3,113.88, 4,671.50 and 922.78 is: 1,384.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,113.88 : 4,671.50 = 922.78 : x
  2. Step 2: Convert to fraction form
    3,113.88/4,671.50 = 922.78/x
  3. Step 3: Cross multiply
    3,113.88x = 4,671.50 × 922.78
  4. Step 4: Simplify right side
    3,113.88x = 4,310,766.77
  5. Step 5: Solve for x
    x = 4,310,766.77/3,113.88
  6. Step 6: Final answer
    x = 1,384.37

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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.