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Finding the Fourth Proportional to 10,878, 15,011.64 and 6,462

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Solution

The fourth proportional to 10,878, 15,011.64 and 6,462 is: 8,917.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,878 : 15,011.64 = 6,462 : x
  2. Step 2: Convert to fraction form
    10,878/15,011.64 = 6,462/x
  3. Step 3: Cross multiply
    10,878x = 15,011.64 × 6,462
  4. Step 4: Simplify right side
    10,878x = 97,005,217.68
  5. Step 5: Solve for x
    x = 97,005,217.68/10,878
  6. Step 6: Final answer
    x = 8,917.56

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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.