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Finding the Fourth Proportional to 1,953.40, 2,926.86 and 1,375.06

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Solution

The fourth proportional to 1,953.40, 2,926.86 and 1,375.06 is: 2,060.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,953.40 : 2,926.86 = 1,375.06 : x
  2. Step 2: Convert to fraction form
    1,953.40/2,926.86 = 1,375.06/x
  3. Step 3: Cross multiply
    1,953.40x = 2,926.86 × 1,375.06
  4. Step 4: Simplify right side
    1,953.40x = 4,024,608.11
  5. Step 5: Solve for x
    x = 4,024,608.11/1,953.40
  6. Step 6: Final answer
    x = 2,060.31

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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.