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Finding the Fourth Proportional to 20,484.72, 30,734.44 and 7,159.66

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Solution

The fourth proportional to 20,484.72, 30,734.44 and 7,159.66 is: 10,742.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,484.72 : 30,734.44 = 7,159.66 : x
  2. Step 2: Convert to fraction form
    20,484.72/30,734.44 = 7,159.66/x
  3. Step 3: Cross multiply
    20,484.72x = 30,734.44 × 7,159.66
  4. Step 4: Simplify right side
    20,484.72x = 220,048,045.96
  5. Step 5: Solve for x
    x = 220,048,045.96/20,484.72
  6. Step 6: Final answer
    x = 10,742.06

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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.