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Finding the Fourth Proportional to 21,911.96, 32,869.74 and 6,329.72

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Solution

The fourth proportional to 21,911.96, 32,869.74 and 6,329.72 is: 9,495.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,911.96 : 32,869.74 = 6,329.72 : x
  2. Step 2: Convert to fraction form
    21,911.96/32,869.74 = 6,329.72/x
  3. Step 3: Cross multiply
    21,911.96x = 32,869.74 × 6,329.72
  4. Step 4: Simplify right side
    21,911.96x = 208,056,250.67
  5. Step 5: Solve for x
    x = 208,056,250.67/21,911.96
  6. Step 6: Final answer
    x = 9,495.10

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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.