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Finding the Fourth Proportional to 10,978, 15,142.92 and 7,838.48

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Solution

The fourth proportional to 10,978, 15,142.92 and 7,838.48 is: 10,812.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,978 : 15,142.92 = 7,838.48 : x
  2. Step 2: Convert to fraction form
    10,978/15,142.92 = 7,838.48/x
  3. Step 3: Cross multiply
    10,978x = 15,142.92 × 7,838.48
  4. Step 4: Simplify right side
    10,978x = 118,697,475.56
  5. Step 5: Solve for x
    x = 118,697,475.56/10,978
  6. Step 6: Final answer
    x = 10,812.30

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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.