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Finding the Fourth Proportional to 1,978.54, 2,966.80 and 661.83

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Solution

The fourth proportional to 1,978.54, 2,966.80 and 661.83 is: 992.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,978.54 : 2,966.80 = 661.83 : x
  2. Step 2: Convert to fraction form
    1,978.54/2,966.80 = 661.83/x
  3. Step 3: Cross multiply
    1,978.54x = 2,966.80 × 661.83
  4. Step 4: Simplify right side
    1,978.54x = 1,963,517.24
  5. Step 5: Solve for x
    x = 1,963,517.24/1,978.54
  6. Step 6: Final answer
    x = 992.41

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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.