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Finding the Fourth Proportional to 1,968.91, 2,952.79 and 782.75

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Solution

The fourth proportional to 1,968.91, 2,952.79 and 782.75 is: 1,173.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,968.91 : 2,952.79 = 782.75 : x
  2. Step 2: Convert to fraction form
    1,968.91/2,952.79 = 782.75/x
  3. Step 3: Cross multiply
    1,968.91x = 2,952.79 × 782.75
  4. Step 4: Simplify right side
    1,968.91x = 2,311,301.80
  5. Step 5: Solve for x
    x = 2,311,301.80/1,968.91
  6. Step 6: Final answer
    x = 1,173.90

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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.