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Finding the Fourth Proportional to 1,402.72, 1,935.95 and 835.87

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Solution

The fourth proportional to 1,402.72, 1,935.95 and 835.87 is: 1,153.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.72 : 1,935.95 = 835.87 : x
  2. Step 2: Convert to fraction form
    1,402.72/1,935.95 = 835.87/x
  3. Step 3: Cross multiply
    1,402.72x = 1,935.95 × 835.87
  4. Step 4: Simplify right side
    1,402.72x = 1,618,201.84
  5. Step 5: Solve for x
    x = 1,618,201.84/1,402.72
  6. Step 6: Final answer
    x = 1,153.62

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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.