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Finding the Fourth Proportional to 3,539.09, 5,308.70 and 942

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Solution

The fourth proportional to 3,539.09, 5,308.70 and 942 is: 1,413.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,539.09 : 5,308.70 = 942 : x
  2. Step 2: Convert to fraction form
    3,539.09/5,308.70 = 942/x
  3. Step 3: Cross multiply
    3,539.09x = 5,308.70 × 942
  4. Step 4: Simplify right side
    3,539.09x = 5,000,795.40
  5. Step 5: Solve for x
    x = 5,000,795.40/3,539.09
  6. Step 6: Final answer
    x = 1,413.02

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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.