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Finding the Fourth Proportional to 2,671.60, 4,007.40 and 1,937.20

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Solution

The fourth proportional to 2,671.60, 4,007.40 and 1,937.20 is: 2,905.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,671.60 : 4,007.40 = 1,937.20 : x
  2. Step 2: Convert to fraction form
    2,671.60/4,007.40 = 1,937.20/x
  3. Step 3: Cross multiply
    2,671.60x = 4,007.40 × 1,937.20
  4. Step 4: Simplify right side
    2,671.60x = 7,763,135.28
  5. Step 5: Solve for x
    x = 7,763,135.28/2,671.60
  6. Step 6: Final answer
    x = 2,905.80

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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.