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Finding the Fourth Proportional to 7,409.80, 11,113.04 and 2,143.64

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Solution

The fourth proportional to 7,409.80, 11,113.04 and 2,143.64 is: 3,214.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,409.80 : 11,113.04 = 2,143.64 : x
  2. Step 2: Convert to fraction form
    7,409.80/11,113.04 = 2,143.64/x
  3. Step 3: Cross multiply
    7,409.80x = 11,113.04 × 2,143.64
  4. Step 4: Simplify right side
    7,409.80x = 23,822,357.07
  5. Step 5: Solve for x
    x = 23,822,357.07/7,409.80
  6. Step 6: Final answer
    x = 3,214.98

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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.