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Finding the Fourth Proportional to 3,542.96, 5,314.63 and 910.50

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Solution

The fourth proportional to 3,542.96, 5,314.63 and 910.50 is: 1,365.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,542.96 : 5,314.63 = 910.50 : x
  2. Step 2: Convert to fraction form
    3,542.96/5,314.63 = 910.50/x
  3. Step 3: Cross multiply
    3,542.96x = 5,314.63 × 910.50
  4. Step 4: Simplify right side
    3,542.96x = 4,838,970.62
  5. Step 5: Solve for x
    x = 4,838,970.62/3,542.96
  6. Step 6: Final answer
    x = 1,365.80

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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.