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Finding the Fourth Proportional to 10,902.69, 16,316.98 and 9,149.65

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Solution

The fourth proportional to 10,902.69, 16,316.98 and 9,149.65 is: 13,693.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,902.69 : 16,316.98 = 9,149.65 : x
  2. Step 2: Convert to fraction form
    10,902.69/16,316.98 = 9,149.65/x
  3. Step 3: Cross multiply
    10,902.69x = 16,316.98 × 9,149.65
  4. Step 4: Simplify right side
    10,902.69x = 149,294,592.39
  5. Step 5: Solve for x
    x = 149,294,592.39/10,902.69
  6. Step 6: Final answer
    x = 13,693.37

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1.5x scale

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.