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Finding the Fourth Proportional to 20,156.92, 30,235.40 and 7,674

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Solution

The fourth proportional to 20,156.92, 30,235.40 and 7,674 is: 11,511.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,156.92 : 30,235.40 = 7,674 : x
  2. Step 2: Convert to fraction form
    20,156.92/30,235.40 = 7,674/x
  3. Step 3: Cross multiply
    20,156.92x = 30,235.40 × 7,674
  4. Step 4: Simplify right side
    20,156.92x = 232,026,459.60
  5. Step 5: Solve for x
    x = 232,026,459.60/20,156.92
  6. Step 6: Final answer
    x = 11,511.01

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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.