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Finding the Fourth Proportional to 1,952.32, 2,929.16 and 978.20

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Solution

The fourth proportional to 1,952.32, 2,929.16 and 978.20 is: 1,467.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,952.32 : 2,929.16 = 978.20 : x
  2. Step 2: Convert to fraction form
    1,952.32/2,929.16 = 978.20/x
  3. Step 3: Cross multiply
    1,952.32x = 2,929.16 × 978.20
  4. Step 4: Simplify right side
    1,952.32x = 2,865,304.31
  5. Step 5: Solve for x
    x = 2,865,304.31/1,952.32
  6. Step 6: Final answer
    x = 1,467.64

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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.