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Finding the Fourth Proportional to 2,125.62, 2,935.98 and 1,535.22

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Solution

The fourth proportional to 2,125.62, 2,935.98 and 1,535.22 is: 2,120.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,125.62 : 2,935.98 = 1,535.22 : x
  2. Step 2: Convert to fraction form
    2,125.62/2,935.98 = 1,535.22/x
  3. Step 3: Cross multiply
    2,125.62x = 2,935.98 × 1,535.22
  4. Step 4: Simplify right side
    2,125.62x = 4,507,375.22
  5. Step 5: Solve for x
    x = 4,507,375.22/2,125.62
  6. Step 6: Final answer
    x = 2,120.50

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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.