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Finding the Fourth Proportional to 2,671.79, 3,688.28 and 1,963.63

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Solution

The fourth proportional to 2,671.79, 3,688.28 and 1,963.63 is: 2,710.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,671.79 : 3,688.28 = 1,963.63 : x
  2. Step 2: Convert to fraction form
    2,671.79/3,688.28 = 1,963.63/x
  3. Step 3: Cross multiply
    2,671.79x = 3,688.28 × 1,963.63
  4. Step 4: Simplify right side
    2,671.79x = 7,242,425.27
  5. Step 5: Solve for x
    x = 7,242,425.27/2,671.79
  6. Step 6: Final answer
    x = 2,710.71

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1.5x scale

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.