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Finding the Fourth Proportional to 21,702.73, 29,950.93 and 12,142.04

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Solution

The fourth proportional to 21,702.73, 29,950.93 and 12,142.04 is: 16,756.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,702.73 : 29,950.93 = 12,142.04 : x
  2. Step 2: Convert to fraction form
    21,702.73/29,950.93 = 12,142.04/x
  3. Step 3: Cross multiply
    21,702.73x = 29,950.93 × 12,142.04
  4. Step 4: Simplify right side
    21,702.73x = 363,665,404.26
  5. Step 5: Solve for x
    x = 363,665,404.26/21,702.73
  6. Step 6: Final answer
    x = 16,756.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.