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Finding the Fourth Proportional to 1,973.87, 2,955.33 and 997.93

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Solution

The fourth proportional to 1,973.87, 2,955.33 and 997.93 is: 1,494.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,973.87 : 2,955.33 = 997.93 : x
  2. Step 2: Convert to fraction form
    1,973.87/2,955.33 = 997.93/x
  3. Step 3: Cross multiply
    1,973.87x = 2,955.33 × 997.93
  4. Step 4: Simplify right side
    1,973.87x = 2,949,192.70
  5. Step 5: Solve for x
    x = 2,949,192.70/1,973.87
  6. Step 6: Final answer
    x = 1,494.12

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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.