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Finding the Fourth Proportional to 21,235.68, 31,860 and 10,854.72

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Solution

The fourth proportional to 21,235.68, 31,860 and 10,854.72 is: 16,285.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,235.68 : 31,860 = 10,854.72 : x
  2. Step 2: Convert to fraction form
    21,235.68/31,860 = 10,854.72/x
  3. Step 3: Cross multiply
    21,235.68x = 31,860 × 10,854.72
  4. Step 4: Simplify right side
    21,235.68x = 345,831,379.20
  5. Step 5: Solve for x
    x = 345,831,379.20/21,235.68
  6. Step 6: Final answer
    x = 16,285.39

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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.