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Finding the Fourth Proportional to 1,986.75, 2,978.81 and 946.91

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Solution

The fourth proportional to 1,986.75, 2,978.81 and 946.91 is: 1,419.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,986.75 : 2,978.81 = 946.91 : x
  2. Step 2: Convert to fraction form
    1,986.75/2,978.81 = 946.91/x
  3. Step 3: Cross multiply
    1,986.75x = 2,978.81 × 946.91
  4. Step 4: Simplify right side
    1,986.75x = 2,820,671.24
  5. Step 5: Solve for x
    x = 2,820,671.24/1,986.75
  6. Step 6: Final answer
    x = 1,419.74

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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.