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Finding the Fourth Proportional to 13,851.64, 20,787.42 and 9,398.22

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Solution

The fourth proportional to 13,851.64, 20,787.42 and 9,398.22 is: 14,104.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,851.64 : 20,787.42 = 9,398.22 : x
  2. Step 2: Convert to fraction form
    13,851.64/20,787.42 = 9,398.22/x
  3. Step 3: Cross multiply
    13,851.64x = 20,787.42 × 9,398.22
  4. Step 4: Simplify right side
    13,851.64x = 195,364,746.39
  5. Step 5: Solve for x
    x = 195,364,746.39/13,851.64
  6. Step 6: Final answer
    x = 14,104.09

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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.