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Finding the Fourth Proportional to 13,539, 20,289.90 and 7,618.74

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Solution

The fourth proportional to 13,539, 20,289.90 and 7,618.74 is: 11,417.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,539 : 20,289.90 = 7,618.74 : x
  2. Step 2: Convert to fraction form
    13,539/20,289.90 = 7,618.74/x
  3. Step 3: Cross multiply
    13,539x = 20,289.90 × 7,618.74
  4. Step 4: Simplify right side
    13,539x = 154,583,472.73
  5. Step 5: Solve for x
    x = 154,583,472.73/13,539
  6. Step 6: Final answer
    x = 11,417.64

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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.