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Finding the Fourth Proportional to 1,973.71, 2,958.51 and 803.21

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Solution

The fourth proportional to 1,973.71, 2,958.51 and 803.21 is: 1,203.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,973.71 : 2,958.51 = 803.21 : x
  2. Step 2: Convert to fraction form
    1,973.71/2,958.51 = 803.21/x
  3. Step 3: Cross multiply
    1,973.71x = 2,958.51 × 803.21
  4. Step 4: Simplify right side
    1,973.71x = 2,376,286.01
  5. Step 5: Solve for x
    x = 2,376,286.01/1,973.71
  6. Step 6: Final answer
    x = 1,203.97

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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.