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Finding the Fourth Proportional to 9,203.11, 12,699.84 and 5,223.68

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Solution

The fourth proportional to 9,203.11, 12,699.84 and 5,223.68 is: 7,208.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,203.11 : 12,699.84 = 5,223.68 : x
  2. Step 2: Convert to fraction form
    9,203.11/12,699.84 = 5,223.68/x
  3. Step 3: Cross multiply
    9,203.11x = 12,699.84 × 5,223.68
  4. Step 4: Simplify right side
    9,203.11x = 66,339,900.21
  5. Step 5: Solve for x
    x = 66,339,900.21/9,203.11
  6. Step 6: Final answer
    x = 7,208.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.