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Finding the Fourth Proportional to 7,324, 10,987.38 and 2,941.80

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Solution

The fourth proportional to 7,324, 10,987.38 and 2,941.80 is: 4,413.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,324 : 10,987.38 = 2,941.80 : x
  2. Step 2: Convert to fraction form
    7,324/10,987.38 = 2,941.80/x
  3. Step 3: Cross multiply
    7,324x = 10,987.38 × 2,941.80
  4. Step 4: Simplify right side
    7,324x = 32,322,674.48
  5. Step 5: Solve for x
    x = 32,322,674.48/7,324
  6. Step 6: Final answer
    x = 4,413.25

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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.