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Finding the Fourth Proportional to 11,294, 15,585.72 and 6,878

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Solution

The fourth proportional to 11,294, 15,585.72 and 6,878 is: 9,491.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,294 : 15,585.72 = 6,878 : x
  2. Step 2: Convert to fraction form
    11,294/15,585.72 = 6,878/x
  3. Step 3: Cross multiply
    11,294x = 15,585.72 × 6,878
  4. Step 4: Simplify right side
    11,294x = 107,198,582.16
  5. Step 5: Solve for x
    x = 107,198,582.16/11,294
  6. Step 6: Final answer
    x = 9,491.64

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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.