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Finding the Fourth Proportional to 10,662.96, 15,994.40 and 2,871.78

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Solution

The fourth proportional to 10,662.96, 15,994.40 and 2,871.78 is: 4,307.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,662.96 : 15,994.40 = 2,871.78 : x
  2. Step 2: Convert to fraction form
    10,662.96/15,994.40 = 2,871.78/x
  3. Step 3: Cross multiply
    10,662.96x = 15,994.40 × 2,871.78
  4. Step 4: Simplify right side
    10,662.96x = 45,932,398.03
  5. Step 5: Solve for x
    x = 45,932,398.03/10,662.96
  6. Step 6: Final answer
    x = 4,307.66

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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.