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Finding the Fourth Proportional to 1,919.35, 2,878.07 and 994.66

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Solution

The fourth proportional to 1,919.35, 2,878.07 and 994.66 is: 1,491.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,919.35 : 2,878.07 = 994.66 : x
  2. Step 2: Convert to fraction form
    1,919.35/2,878.07 = 994.66/x
  3. Step 3: Cross multiply
    1,919.35x = 2,878.07 × 994.66
  4. Step 4: Simplify right side
    1,919.35x = 2,862,701.11
  5. Step 5: Solve for x
    x = 2,862,701.11/1,919.35
  6. Step 6: Final answer
    x = 1,491.50

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Half scale
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Double scale
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Similar ratio
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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.