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Finding the Fourth Proportional to 1,956.07, 2,933.80 and 657.55

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Solution

The fourth proportional to 1,956.07, 2,933.80 and 657.55 is: 986.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,956.07 : 2,933.80 = 657.55 : x
  2. Step 2: Convert to fraction form
    1,956.07/2,933.80 = 657.55/x
  3. Step 3: Cross multiply
    1,956.07x = 2,933.80 × 657.55
  4. Step 4: Simplify right side
    1,956.07x = 1,929,120.19
  5. Step 5: Solve for x
    x = 1,929,120.19/1,956.07
  6. Step 6: Final answer
    x = 986.22

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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.