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Finding the Fourth Proportional to 13,656.83, 18,839.66 and 8,342.42

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Solution

The fourth proportional to 13,656.83, 18,839.66 and 8,342.42 is: 11,508.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,656.83 : 18,839.66 = 8,342.42 : x
  2. Step 2: Convert to fraction form
    13,656.83/18,839.66 = 8,342.42/x
  3. Step 3: Cross multiply
    13,656.83x = 18,839.66 × 8,342.42
  4. Step 4: Simplify right side
    13,656.83x = 157,168,220.47
  5. Step 5: Solve for x
    x = 157,168,220.47/13,656.83
  6. Step 6: Final answer
    x = 11,508.40

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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.