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Finding the Fourth Proportional to 11,469.80, 15,829.53 and 6,435.38

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Solution

The fourth proportional to 11,469.80, 15,829.53 and 6,435.38 is: 8,881.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,469.80 : 15,829.53 = 6,435.38 : x
  2. Step 2: Convert to fraction form
    11,469.80/15,829.53 = 6,435.38/x
  3. Step 3: Cross multiply
    11,469.80x = 15,829.53 × 6,435.38
  4. Step 4: Simplify right side
    11,469.80x = 101,869,056.21
  5. Step 5: Solve for x
    x = 101,869,056.21/11,469.80
  6. Step 6: Final answer
    x = 8,881.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.