Home / 21,307.82-31,962-8,160.98

Finding the Fourth Proportional to 21,307.82, 31,962 and 8,160.98

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Solution

The fourth proportional to 21,307.82, 31,962 and 8,160.98 is: 12,241.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,307.82 : 31,962 = 8,160.98 : x
  2. Step 2: Convert to fraction form
    21,307.82/31,962 = 8,160.98/x
  3. Step 3: Cross multiply
    21,307.82x = 31,962 × 8,160.98
  4. Step 4: Simplify right side
    21,307.82x = 260,841,242.76
  5. Step 5: Solve for x
    x = 260,841,242.76/21,307.82
  6. Step 6: Final answer
    x = 12,241.57

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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.