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Finding the Fourth Proportional to 10,662.93, 15,962.81 and 7,902

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Solution

The fourth proportional to 10,662.93, 15,962.81 and 7,902 is: 11,829.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,662.93 : 15,962.81 = 7,902 : x
  2. Step 2: Convert to fraction form
    10,662.93/15,962.81 = 7,902/x
  3. Step 3: Cross multiply
    10,662.93x = 15,962.81 × 7,902
  4. Step 4: Simplify right side
    10,662.93x = 126,138,085.11
  5. Step 5: Solve for x
    x = 126,138,085.11/10,662.93
  6. Step 6: Final answer
    x = 11,829.59

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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.