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Finding the Fourth Proportional to 7,209.50, 10,816 and 3,510.89

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Solution

The fourth proportional to 7,209.50, 10,816 and 3,510.89 is: 5,267.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,209.50 : 10,816 = 3,510.89 : x
  2. Step 2: Convert to fraction form
    7,209.50/10,816 = 3,510.89/x
  3. Step 3: Cross multiply
    7,209.50x = 10,816 × 3,510.89
  4. Step 4: Simplify right side
    7,209.50x = 37,973,786.24
  5. Step 5: Solve for x
    x = 37,973,786.24/7,209.50
  6. Step 6: Final answer
    x = 5,267.19

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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.