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Finding the Fourth Proportional to 14,609.71, 21,915.78 and 6,289.93

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Solution

The fourth proportional to 14,609.71, 21,915.78 and 6,289.93 is: 9,435.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,609.71 : 21,915.78 = 6,289.93 : x
  2. Step 2: Convert to fraction form
    14,609.71/21,915.78 = 6,289.93/x
  3. Step 3: Cross multiply
    14,609.71x = 21,915.78 × 6,289.93
  4. Step 4: Simplify right side
    14,609.71x = 137,848,722.10
  5. Step 5: Solve for x
    x = 137,848,722.10/14,609.71
  6. Step 6: Final answer
    x = 9,435.42

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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.