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Finding the Fourth Proportional to 20,958.76, 31,412.94 and 9,258.76

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Solution

The fourth proportional to 20,958.76, 31,412.94 and 9,258.76 is: 13,877.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,958.76 : 31,412.94 = 9,258.76 : x
  2. Step 2: Convert to fraction form
    20,958.76/31,412.94 = 9,258.76/x
  3. Step 3: Cross multiply
    20,958.76x = 31,412.94 × 9,258.76
  4. Step 4: Simplify right side
    20,958.76x = 290,844,872.35
  5. Step 5: Solve for x
    x = 290,844,872.35/20,958.76
  6. Step 6: Final answer
    x = 13,877.01

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.