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Finding the Fourth Proportional to 1,978.92, 2,968.91 and 592.26

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Solution

The fourth proportional to 1,978.92, 2,968.91 and 592.26 is: 888.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,978.92 : 2,968.91 = 592.26 : x
  2. Step 2: Convert to fraction form
    1,978.92/2,968.91 = 592.26/x
  3. Step 3: Cross multiply
    1,978.92x = 2,968.91 × 592.26
  4. Step 4: Simplify right side
    1,978.92x = 1,758,363.68
  5. Step 5: Solve for x
    x = 1,758,363.68/1,978.92
  6. Step 6: Final answer
    x = 888.55

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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.