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Finding the Fourth Proportional to 20,243.68, 30,368.74 and 8,557

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Solution

The fourth proportional to 20,243.68, 30,368.74 and 8,557 is: 12,836.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,243.68 : 30,368.74 = 8,557 : x
  2. Step 2: Convert to fraction form
    20,243.68/30,368.74 = 8,557/x
  3. Step 3: Cross multiply
    20,243.68x = 30,368.74 × 8,557
  4. Step 4: Simplify right side
    20,243.68x = 259,865,308.18
  5. Step 5: Solve for x
    x = 259,865,308.18/20,243.68
  6. Step 6: Final answer
    x = 12,836.86

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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.