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Finding the Fourth Proportional to 21,013, 31,519.50 and 8,701

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Solution

The fourth proportional to 21,013, 31,519.50 and 8,701 is: 13,051.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,013 : 31,519.50 = 8,701 : x
  2. Step 2: Convert to fraction form
    21,013/31,519.50 = 8,701/x
  3. Step 3: Cross multiply
    21,013x = 31,519.50 × 8,701
  4. Step 4: Simplify right side
    21,013x = 274,251,169.50
  5. Step 5: Solve for x
    x = 274,251,169.50/21,013
  6. Step 6: Final answer
    x = 13,051.50

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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.