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Finding the Fourth Proportional to 13,205.32, 18,223.53 and 7,899.11

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Solution

The fourth proportional to 13,205.32, 18,223.53 and 7,899.11 is: 10,900.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,205.32 : 18,223.53 = 7,899.11 : x
  2. Step 2: Convert to fraction form
    13,205.32/18,223.53 = 7,899.11/x
  3. Step 3: Cross multiply
    13,205.32x = 18,223.53 × 7,899.11
  4. Step 4: Simplify right side
    13,205.32x = 143,949,713.62
  5. Step 5: Solve for x
    x = 143,949,713.62/13,205.32
  6. Step 6: Final answer
    x = 10,900.89

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Double scale
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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.