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Finding the Fourth Proportional to 1,952.30, 2,928.44 and 978.39

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Solution

The fourth proportional to 1,952.30, 2,928.44 and 978.39 is: 1,467.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,952.30 : 2,928.44 = 978.39 : x
  2. Step 2: Convert to fraction form
    1,952.30/2,928.44 = 978.39/x
  3. Step 3: Cross multiply
    1,952.30x = 2,928.44 × 978.39
  4. Step 4: Simplify right side
    1,952.30x = 2,865,158.86
  5. Step 5: Solve for x
    x = 2,865,158.86/1,952.30
  6. Step 6: Final answer
    x = 1,467.58

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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.