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Finding the Fourth Proportional to 20,652.76, 30,978.60 and 7,505.38

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Solution

The fourth proportional to 20,652.76, 30,978.60 and 7,505.38 is: 11,257.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,652.76 : 30,978.60 = 7,505.38 : x
  2. Step 2: Convert to fraction form
    20,652.76/30,978.60 = 7,505.38/x
  3. Step 3: Cross multiply
    20,652.76x = 30,978.60 × 7,505.38
  4. Step 4: Simplify right side
    20,652.76x = 232,506,164.87
  5. Step 5: Solve for x
    x = 232,506,164.87/20,652.76
  6. Step 6: Final answer
    x = 11,257.87

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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.