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Finding the Fourth Proportional to 1,972.78, 2,959.50 and 985.64

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Solution

The fourth proportional to 1,972.78, 2,959.50 and 985.64 is: 1,478.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,972.78 : 2,959.50 = 985.64 : x
  2. Step 2: Convert to fraction form
    1,972.78/2,959.50 = 985.64/x
  3. Step 3: Cross multiply
    1,972.78x = 2,959.50 × 985.64
  4. Step 4: Simplify right side
    1,972.78x = 2,917,001.58
  5. Step 5: Solve for x
    x = 2,917,001.58/1,972.78
  6. Step 6: Final answer
    x = 1,478.62

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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.