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Finding the Fourth Proportional to 1,874.14, 2,811.15 and 848.14

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Solution

The fourth proportional to 1,874.14, 2,811.15 and 848.14 is: 1,272.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,874.14 : 2,811.15 = 848.14 : x
  2. Step 2: Convert to fraction form
    1,874.14/2,811.15 = 848.14/x
  3. Step 3: Cross multiply
    1,874.14x = 2,811.15 × 848.14
  4. Step 4: Simplify right side
    1,874.14x = 2,384,248.76
  5. Step 5: Solve for x
    x = 2,384,248.76/1,874.14
  6. Step 6: Final answer
    x = 1,272.18

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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.