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Finding the Fourth Proportional to 7,209, 10,804.26 and 3,462.48

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Solution

The fourth proportional to 7,209, 10,804.26 and 3,462.48 is: 5,189.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,209 : 10,804.26 = 3,462.48 : x
  2. Step 2: Convert to fraction form
    7,209/10,804.26 = 3,462.48/x
  3. Step 3: Cross multiply
    7,209x = 10,804.26 × 3,462.48
  4. Step 4: Simplify right side
    7,209x = 37,409,534.16
  5. Step 5: Solve for x
    x = 37,409,534.16/7,209
  6. Step 6: Final answer
    x = 5,189.28

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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.