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Finding the Fourth Proportional to 21,894.48, 32,835.24 and 7,107.12

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Solution

The fourth proportional to 21,894.48, 32,835.24 and 7,107.12 is: 10,658.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,894.48 : 32,835.24 = 7,107.12 : x
  2. Step 2: Convert to fraction form
    21,894.48/32,835.24 = 7,107.12/x
  3. Step 3: Cross multiply
    21,894.48x = 32,835.24 × 7,107.12
  4. Step 4: Simplify right side
    21,894.48x = 233,363,990.91
  5. Step 5: Solve for x
    x = 233,363,990.91/21,894.48
  6. Step 6: Final answer
    x = 10,658.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.