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Finding the Fourth Proportional to 11,078.87, 15,276.39 and 9,056

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Solution

The fourth proportional to 11,078.87, 15,276.39 and 9,056 is: 12,487.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,078.87 : 15,276.39 = 9,056 : x
  2. Step 2: Convert to fraction form
    11,078.87/15,276.39 = 9,056/x
  3. Step 3: Cross multiply
    11,078.87x = 15,276.39 × 9,056
  4. Step 4: Simplify right side
    11,078.87x = 138,342,987.84
  5. Step 5: Solve for x
    x = 138,342,987.84/11,078.87
  6. Step 6: Final answer
    x = 12,487.10

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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.