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Finding the Fourth Proportional to 2,043.56, 2,820 and 1,112

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Solution

The fourth proportional to 2,043.56, 2,820 and 1,112 is: 1,534.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,043.56 : 2,820 = 1,112 : x
  2. Step 2: Convert to fraction form
    2,043.56/2,820 = 1,112/x
  3. Step 3: Cross multiply
    2,043.56x = 2,820 × 1,112
  4. Step 4: Simplify right side
    2,043.56x = 3,135,840
  5. Step 5: Solve for x
    x = 3,135,840/2,043.56
  6. Step 6: Final answer
    x = 1,534.50

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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.