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Finding the Fourth Proportional to 1,959.21, 2,935.08 and 985.95

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Solution

The fourth proportional to 1,959.21, 2,935.08 and 985.95 is: 1,477.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,959.21 : 2,935.08 = 985.95 : x
  2. Step 2: Convert to fraction form
    1,959.21/2,935.08 = 985.95/x
  3. Step 3: Cross multiply
    1,959.21x = 2,935.08 × 985.95
  4. Step 4: Simplify right side
    1,959.21x = 2,893,842.13
  5. Step 5: Solve for x
    x = 2,893,842.13/1,959.21
  6. Step 6: Final answer
    x = 1,477.05

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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.