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Finding the Fourth Proportional to 13,909.56, 19,194.78 and 7,941.06

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Solution

The fourth proportional to 13,909.56, 19,194.78 and 7,941.06 is: 10,958.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,909.56 : 19,194.78 = 7,941.06 : x
  2. Step 2: Convert to fraction form
    13,909.56/19,194.78 = 7,941.06/x
  3. Step 3: Cross multiply
    13,909.56x = 19,194.78 × 7,941.06
  4. Step 4: Simplify right side
    13,909.56x = 152,426,899.67
  5. Step 5: Solve for x
    x = 152,426,899.67/13,909.56
  6. Step 6: Final answer
    x = 10,958.43

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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.