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Finding the Fourth Proportional to 2,810.46, 3,881.56 and 2,188.47

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Solution

The fourth proportional to 2,810.46, 3,881.56 and 2,188.47 is: 3,022.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,810.46 : 3,881.56 = 2,188.47 : x
  2. Step 2: Convert to fraction form
    2,810.46/3,881.56 = 2,188.47/x
  3. Step 3: Cross multiply
    2,810.46x = 3,881.56 × 2,188.47
  4. Step 4: Simplify right side
    2,810.46x = 8,494,660.94
  5. Step 5: Solve for x
    x = 8,494,660.94/2,810.46
  6. Step 6: Final answer
    x = 3,022.52

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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.