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Finding the Fourth Proportional to 1,931.32, 2,896.62 and 835.39

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Solution

The fourth proportional to 1,931.32, 2,896.62 and 835.39 is: 1,252.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,931.32 : 2,896.62 = 835.39 : x
  2. Step 2: Convert to fraction form
    1,931.32/2,896.62 = 835.39/x
  3. Step 3: Cross multiply
    1,931.32x = 2,896.62 × 835.39
  4. Step 4: Simplify right side
    1,931.32x = 2,419,807.38
  5. Step 5: Solve for x
    x = 2,419,807.38/1,931.32
  6. Step 6: Final answer
    x = 1,252.93

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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.