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Finding the Fourth Proportional to 19,730.70, 29,595 and 7,249.76

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Solution

The fourth proportional to 19,730.70, 29,595 and 7,249.76 is: 10,874.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,730.70 : 29,595 = 7,249.76 : x
  2. Step 2: Convert to fraction form
    19,730.70/29,595 = 7,249.76/x
  3. Step 3: Cross multiply
    19,730.70x = 29,595 × 7,249.76
  4. Step 4: Simplify right side
    19,730.70x = 214,556,647.20
  5. Step 5: Solve for x
    x = 214,556,647.20/19,730.70
  6. Step 6: Final answer
    x = 10,874.25

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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.