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Finding the Fourth Proportional to 9,958.60, 13,743.75 and 5,711.16

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Solution

The fourth proportional to 9,958.60, 13,743.75 and 5,711.16 is: 7,881.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,958.60 : 13,743.75 = 5,711.16 : x
  2. Step 2: Convert to fraction form
    9,958.60/13,743.75 = 5,711.16/x
  3. Step 3: Cross multiply
    9,958.60x = 13,743.75 × 5,711.16
  4. Step 4: Simplify right side
    9,958.60x = 78,492,755.25
  5. Step 5: Solve for x
    x = 78,492,755.25/9,958.60
  6. Step 6: Final answer
    x = 7,881.91

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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.