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Finding the Fourth Proportional to 14,500.78, 21,787.62 and 9,238.14

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Solution

The fourth proportional to 14,500.78, 21,787.62 and 9,238.14 is: 13,880.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,500.78 : 21,787.62 = 9,238.14 : x
  2. Step 2: Convert to fraction form
    14,500.78/21,787.62 = 9,238.14/x
  3. Step 3: Cross multiply
    14,500.78x = 21,787.62 × 9,238.14
  4. Step 4: Simplify right side
    14,500.78x = 201,277,083.83
  5. Step 5: Solve for x
    x = 201,277,083.83/14,500.78
  6. Step 6: Final answer
    x = 13,880.43

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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.