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Finding the Fourth Proportional to 1,987.45, 2,979.29 and 946.90

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Solution

The fourth proportional to 1,987.45, 2,979.29 and 946.90 is: 1,419.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,987.45 : 2,979.29 = 946.90 : x
  2. Step 2: Convert to fraction form
    1,987.45/2,979.29 = 946.90/x
  3. Step 3: Cross multiply
    1,987.45x = 2,979.29 × 946.90
  4. Step 4: Simplify right side
    1,987.45x = 2,821,084.62
  5. Step 5: Solve for x
    x = 2,821,084.62/1,987.45
  6. Step 6: Final answer
    x = 1,419.45

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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.