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Finding the Fourth Proportional to 15,696.34, 21,662 and 8,622.83

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Solution

The fourth proportional to 15,696.34, 21,662 and 8,622.83 is: 11,900.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,696.34 : 21,662 = 8,622.83 : x
  2. Step 2: Convert to fraction form
    15,696.34/21,662 = 8,622.83/x
  3. Step 3: Cross multiply
    15,696.34x = 21,662 × 8,622.83
  4. Step 4: Simplify right side
    15,696.34x = 186,787,743.46
  5. Step 5: Solve for x
    x = 186,787,743.46/15,696.34
  6. Step 6: Final answer
    x = 11,900.08

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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.