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Finding the Fourth Proportional to 21,854.81, 32,784.65 and 8,003.81

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Solution

The fourth proportional to 21,854.81, 32,784.65 and 8,003.81 is: 12,006.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,854.81 : 32,784.65 = 8,003.81 : x
  2. Step 2: Convert to fraction form
    21,854.81/32,784.65 = 8,003.81/x
  3. Step 3: Cross multiply
    21,854.81x = 32,784.65 × 8,003.81
  4. Step 4: Simplify right side
    21,854.81x = 262,402,181.47
  5. Step 5: Solve for x
    x = 262,402,181.47/21,854.81
  6. Step 6: Final answer
    x = 12,006.61

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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.