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Finding the Fourth Proportional to 13,945.42, 19,244.64 and 8,356.42

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Solution

The fourth proportional to 13,945.42, 19,244.64 and 8,356.42 is: 11,531.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,945.42 : 19,244.64 = 8,356.42 : x
  2. Step 2: Convert to fraction form
    13,945.42/19,244.64 = 8,356.42/x
  3. Step 3: Cross multiply
    13,945.42x = 19,244.64 × 8,356.42
  4. Step 4: Simplify right side
    13,945.42x = 160,816,294.59
  5. Step 5: Solve for x
    x = 160,816,294.59/13,945.42
  6. Step 6: Final answer
    x = 11,531.84

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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.