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Finding the Fourth Proportional to 7,223.04, 10,836.16 and 2,606.40

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Solution

The fourth proportional to 7,223.04, 10,836.16 and 2,606.40 is: 3,910.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,223.04 : 10,836.16 = 2,606.40 : x
  2. Step 2: Convert to fraction form
    7,223.04/10,836.16 = 2,606.40/x
  3. Step 3: Cross multiply
    7,223.04x = 10,836.16 × 2,606.40
  4. Step 4: Simplify right side
    7,223.04x = 28,243,367.42
  5. Step 5: Solve for x
    x = 28,243,367.42/7,223.04
  6. Step 6: Final answer
    x = 3,910.18

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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.