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Finding the Fourth Proportional to 2,810.56, 4,187.80 and 2,684.82

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Solution

The fourth proportional to 2,810.56, 4,187.80 and 2,684.82 is: 4,000.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,810.56 : 4,187.80 = 2,684.82 : x
  2. Step 2: Convert to fraction form
    2,810.56/4,187.80 = 2,684.82/x
  3. Step 3: Cross multiply
    2,810.56x = 4,187.80 × 2,684.82
  4. Step 4: Simplify right side
    2,810.56x = 11,243,489.20
  5. Step 5: Solve for x
    x = 11,243,489.20/2,810.56
  6. Step 6: Final answer
    x = 4,000.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.