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Finding the Fourth Proportional to 3,113.60, 4,671.37 and 922.34

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Solution

The fourth proportional to 3,113.60, 4,671.37 and 922.34 is: 1,383.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,113.60 : 4,671.37 = 922.34 : x
  2. Step 2: Convert to fraction form
    3,113.60/4,671.37 = 922.34/x
  3. Step 3: Cross multiply
    3,113.60x = 4,671.37 × 922.34
  4. Step 4: Simplify right side
    3,113.60x = 4,308,591.41
  5. Step 5: Solve for x
    x = 4,308,591.41/3,113.60
  6. Step 6: Final answer
    x = 1,383.80

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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.