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Finding the Fourth Proportional to 1,759.96, 2,428.72 and 974

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Solution

The fourth proportional to 1,759.96, 2,428.72 and 974 is: 1,344.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,759.96 : 2,428.72 = 974 : x
  2. Step 2: Convert to fraction form
    1,759.96/2,428.72 = 974/x
  3. Step 3: Cross multiply
    1,759.96x = 2,428.72 × 974
  4. Step 4: Simplify right side
    1,759.96x = 2,365,573.28
  5. Step 5: Solve for x
    x = 2,365,573.28/1,759.96
  6. Step 6: Final answer
    x = 1,344.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.