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Finding the Fourth Proportional to 21,969.90, 32,931.23 and 9,495.83

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Solution

The fourth proportional to 21,969.90, 32,931.23 and 9,495.83 is: 14,233.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,969.90 : 32,931.23 = 9,495.83 : x
  2. Step 2: Convert to fraction form
    21,969.90/32,931.23 = 9,495.83/x
  3. Step 3: Cross multiply
    21,969.90x = 32,931.23 × 9,495.83
  4. Step 4: Simplify right side
    21,969.90x = 312,709,396.62
  5. Step 5: Solve for x
    x = 312,709,396.62/21,969.90
  6. Step 6: Final answer
    x = 14,233.54

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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.