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Finding the Fourth Proportional to 1,867.95, 2,800.71 and 942.12

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Solution

The fourth proportional to 1,867.95, 2,800.71 and 942.12 is: 1,412.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,867.95 : 2,800.71 = 942.12 : x
  2. Step 2: Convert to fraction form
    1,867.95/2,800.71 = 942.12/x
  3. Step 3: Cross multiply
    1,867.95x = 2,800.71 × 942.12
  4. Step 4: Simplify right side
    1,867.95x = 2,638,604.91
  5. Step 5: Solve for x
    x = 2,638,604.91/1,867.95
  6. Step 6: Final answer
    x = 1,412.57

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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.