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Finding the Fourth Proportional to 2,800.95, 4,200.05 and 1,631.36

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Solution

The fourth proportional to 2,800.95, 4,200.05 and 1,631.36 is: 2,446.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,800.95 : 4,200.05 = 1,631.36 : x
  2. Step 2: Convert to fraction form
    2,800.95/4,200.05 = 1,631.36/x
  3. Step 3: Cross multiply
    2,800.95x = 4,200.05 × 1,631.36
  4. Step 4: Simplify right side
    2,800.95x = 6,851,784.52
  5. Step 5: Solve for x
    x = 6,851,784.52/2,800.95
  6. Step 6: Final answer
    x = 2,446.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.