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Finding the Fourth Proportional to 11,878, 16,391.43 and 6,842.19

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Solution

The fourth proportional to 11,878, 16,391.43 and 6,842.19 is: 9,442.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,878 : 16,391.43 = 6,842.19 : x
  2. Step 2: Convert to fraction form
    11,878/16,391.43 = 6,842.19/x
  3. Step 3: Cross multiply
    11,878x = 16,391.43 × 6,842.19
  4. Step 4: Simplify right side
    11,878x = 112,153,278.43
  5. Step 5: Solve for x
    x = 112,153,278.43/11,878
  6. Step 6: Final answer
    x = 9,442.10

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Double scale
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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.