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Finding the Fourth Proportional to 5,261, 7,891.56 and 1,365.17

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Solution

The fourth proportional to 5,261, 7,891.56 and 1,365.17 is: 2,047.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,261 : 7,891.56 = 1,365.17 : x
  2. Step 2: Convert to fraction form
    5,261/7,891.56 = 1,365.17/x
  3. Step 3: Cross multiply
    5,261x = 7,891.56 × 1,365.17
  4. Step 4: Simplify right side
    5,261x = 10,773,320.97
  5. Step 5: Solve for x
    x = 10,773,320.97/5,261
  6. Step 6: Final answer
    x = 2,047.77

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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.