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Finding the Fourth Proportional to 1,671.70, 2,504.80 and 1,607.68

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Solution

The fourth proportional to 1,671.70, 2,504.80 and 1,607.68 is: 2,408.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,671.70 : 2,504.80 = 1,607.68 : x
  2. Step 2: Convert to fraction form
    1,671.70/2,504.80 = 1,607.68/x
  3. Step 3: Cross multiply
    1,671.70x = 2,504.80 × 1,607.68
  4. Step 4: Simplify right side
    1,671.70x = 4,026,916.86
  5. Step 5: Solve for x
    x = 4,026,916.86/1,671.70
  6. Step 6: Final answer
    x = 2,408.88

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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.