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Finding the Fourth Proportional to 3,681.66, 5,076.90 and 2,563.86

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Solution

The fourth proportional to 3,681.66, 5,076.90 and 2,563.86 is: 3,535.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,681.66 : 5,076.90 = 2,563.86 : x
  2. Step 2: Convert to fraction form
    3,681.66/5,076.90 = 2,563.86/x
  3. Step 3: Cross multiply
    3,681.66x = 5,076.90 × 2,563.86
  4. Step 4: Simplify right side
    3,681.66x = 13,016,460.83
  5. Step 5: Solve for x
    x = 13,016,460.83/3,681.66
  6. Step 6: Final answer
    x = 3,535.49

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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.