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Finding the Fourth Proportional to 2,935.50, 4,403.02 and 1,702.14

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Solution

The fourth proportional to 2,935.50, 4,403.02 and 1,702.14 is: 2,553.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,935.50 : 4,403.02 = 1,702.14 : x
  2. Step 2: Convert to fraction form
    2,935.50/4,403.02 = 1,702.14/x
  3. Step 3: Cross multiply
    2,935.50x = 4,403.02 × 1,702.14
  4. Step 4: Simplify right side
    2,935.50x = 7,494,556.46
  5. Step 5: Solve for x
    x = 7,494,556.46/2,935.50
  6. Step 6: Final answer
    x = 2,553.08

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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.