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Finding the Fourth Proportional to 15,935.20, 21,996.03 and 9,647.57

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Solution

The fourth proportional to 15,935.20, 21,996.03 and 9,647.57 is: 13,316.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,935.20 : 21,996.03 = 9,647.57 : x
  2. Step 2: Convert to fraction form
    15,935.20/21,996.03 = 9,647.57/x
  3. Step 3: Cross multiply
    15,935.20x = 21,996.03 × 9,647.57
  4. Step 4: Simplify right side
    15,935.20x = 212,208,239.15
  5. Step 5: Solve for x
    x = 212,208,239.15/15,935.20
  6. Step 6: Final answer
    x = 13,316.95

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1.5x scale

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.