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Finding the Fourth Proportional to 21,605, 32,407.50 and 7,013

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Solution

The fourth proportional to 21,605, 32,407.50 and 7,013 is: 10,519.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,605 : 32,407.50 = 7,013 : x
  2. Step 2: Convert to fraction form
    21,605/32,407.50 = 7,013/x
  3. Step 3: Cross multiply
    21,605x = 32,407.50 × 7,013
  4. Step 4: Simplify right side
    21,605x = 227,273,797.50
  5. Step 5: Solve for x
    x = 227,273,797.50/21,605
  6. Step 6: Final answer
    x = 10,519.50

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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.