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Finding the Fourth Proportional to 9,278.19, 13,917.15 and 2,258.19

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Solution

The fourth proportional to 9,278.19, 13,917.15 and 2,258.19 is: 3,387.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,278.19 : 13,917.15 = 2,258.19 : x
  2. Step 2: Convert to fraction form
    9,278.19/13,917.15 = 2,258.19/x
  3. Step 3: Cross multiply
    9,278.19x = 13,917.15 × 2,258.19
  4. Step 4: Simplify right side
    9,278.19x = 31,427,568.96
  5. Step 5: Solve for x
    x = 31,427,568.96/9,278.19
  6. Step 6: Final answer
    x = 3,387.25

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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.