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Finding the Fourth Proportional to 19,672.19, 29,511.20 and 7,189.31

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Solution

The fourth proportional to 19,672.19, 29,511.20 and 7,189.31 is: 10,785.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,672.19 : 29,511.20 = 7,189.31 : x
  2. Step 2: Convert to fraction form
    19,672.19/29,511.20 = 7,189.31/x
  3. Step 3: Cross multiply
    19,672.19x = 29,511.20 × 7,189.31
  4. Step 4: Simplify right side
    19,672.19x = 212,165,035.69
  5. Step 5: Solve for x
    x = 212,165,035.69/19,672.19
  6. Step 6: Final answer
    x = 10,785.02

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1.5x scale

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.