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Finding the Fourth Proportional to 11,878.58, 16,391.25 and 6,842.74

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Solution

The fourth proportional to 11,878.58, 16,391.25 and 6,842.74 is: 9,442.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,878.58 : 16,391.25 = 6,842.74 : x
  2. Step 2: Convert to fraction form
    11,878.58/16,391.25 = 6,842.74/x
  3. Step 3: Cross multiply
    11,878.58x = 16,391.25 × 6,842.74
  4. Step 4: Simplify right side
    11,878.58x = 112,161,062.03
  5. Step 5: Solve for x
    x = 112,161,062.03/11,878.58
  6. Step 6: Final answer
    x = 9,442.30

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1.5x scale

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.