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Finding the Fourth Proportional to 20,491.64, 30,734.10 and 7,341.56

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Solution

The fourth proportional to 20,491.64, 30,734.10 and 7,341.56 is: 11,011.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,491.64 : 30,734.10 = 7,341.56 : x
  2. Step 2: Convert to fraction form
    20,491.64/30,734.10 = 7,341.56/x
  3. Step 3: Cross multiply
    20,491.64x = 30,734.10 × 7,341.56
  4. Step 4: Simplify right side
    20,491.64x = 225,636,239.20
  5. Step 5: Solve for x
    x = 225,636,239.20/20,491.64
  6. Step 6: Final answer
    x = 11,011.14

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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.