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Finding the Fourth Proportional to 2,092.76, 3,140.40 and 776.29

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Solution

The fourth proportional to 2,092.76, 3,140.40 and 776.29 is: 1,164.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,092.76 : 3,140.40 = 776.29 : x
  2. Step 2: Convert to fraction form
    2,092.76/3,140.40 = 776.29/x
  3. Step 3: Cross multiply
    2,092.76x = 3,140.40 × 776.29
  4. Step 4: Simplify right side
    2,092.76x = 2,437,864.35
  5. Step 5: Solve for x
    x = 2,437,864.35/2,092.76
  6. Step 6: Final answer
    x = 1,164.90

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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.