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Finding the Fourth Proportional to 9,787.74, 14,683.43 and 3,218.54

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Solution

The fourth proportional to 9,787.74, 14,683.43 and 3,218.54 is: 4,828.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,787.74 : 14,683.43 = 3,218.54 : x
  2. Step 2: Convert to fraction form
    9,787.74/14,683.43 = 3,218.54/x
  3. Step 3: Cross multiply
    9,787.74x = 14,683.43 × 3,218.54
  4. Step 4: Simplify right side
    9,787.74x = 47,259,123.32
  5. Step 5: Solve for x
    x = 47,259,123.32/9,787.74
  6. Step 6: Final answer
    x = 4,828.40

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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.