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Finding the Fourth Proportional to 21,894.90, 32,842.33 and 7,103.81

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Solution

The fourth proportional to 21,894.90, 32,842.33 and 7,103.81 is: 10,655.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,894.90 : 32,842.33 = 7,103.81 : x
  2. Step 2: Convert to fraction form
    21,894.90/32,842.33 = 7,103.81/x
  3. Step 3: Cross multiply
    21,894.90x = 32,842.33 × 7,103.81
  4. Step 4: Simplify right side
    21,894.90x = 233,305,811.52
  5. Step 5: Solve for x
    x = 233,305,811.52/21,894.90
  6. Step 6: Final answer
    x = 10,655.72

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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.