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Finding the Fourth Proportional to 9,098, 13,649.16 and 2,942

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Solution

The fourth proportional to 9,098, 13,649.16 and 2,942 is: 4,413.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,098 : 13,649.16 = 2,942 : x
  2. Step 2: Convert to fraction form
    9,098/13,649.16 = 2,942/x
  3. Step 3: Cross multiply
    9,098x = 13,649.16 × 2,942
  4. Step 4: Simplify right side
    9,098x = 40,155,828.72
  5. Step 5: Solve for x
    x = 40,155,828.72/9,098
  6. Step 6: Final answer
    x = 4,413.70

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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.