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Finding the Fourth Proportional to 10,539, 15,801.21 and 6,380.06

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Solution

The fourth proportional to 10,539, 15,801.21 and 6,380.06 is: 9,565.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,539 : 15,801.21 = 6,380.06 : x
  2. Step 2: Convert to fraction form
    10,539/15,801.21 = 6,380.06/x
  3. Step 3: Cross multiply
    10,539x = 15,801.21 × 6,380.06
  4. Step 4: Simplify right side
    10,539x = 100,812,588.87
  5. Step 5: Solve for x
    x = 100,812,588.87/10,539
  6. Step 6: Final answer
    x = 9,565.67

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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.