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Finding the Fourth Proportional to 9,238.72, 13,873.20 and 7,787.20

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Solution

The fourth proportional to 9,238.72, 13,873.20 and 7,787.20 is: 11,693.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,238.72 : 13,873.20 = 7,787.20 : x
  2. Step 2: Convert to fraction form
    9,238.72/13,873.20 = 7,787.20/x
  3. Step 3: Cross multiply
    9,238.72x = 13,873.20 × 7,787.20
  4. Step 4: Simplify right side
    9,238.72x = 108,033,383.04
  5. Step 5: Solve for x
    x = 108,033,383.04/9,238.72
  6. Step 6: Final answer
    x = 11,693.54

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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.