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Finding the Fourth Proportional to 1,815.98, 2,723.98 and 842.10

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Solution

The fourth proportional to 1,815.98, 2,723.98 and 842.10 is: 1,263.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,815.98 : 2,723.98 = 842.10 : x
  2. Step 2: Convert to fraction form
    1,815.98/2,723.98 = 842.10/x
  3. Step 3: Cross multiply
    1,815.98x = 2,723.98 × 842.10
  4. Step 4: Simplify right side
    1,815.98x = 2,293,863.56
  5. Step 5: Solve for x
    x = 2,293,863.56/1,815.98
  6. Step 6: Final answer
    x = 1,263.15

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1.5x scale

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.