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Finding the Fourth Proportional to 15,735.93, 21,715.74 and 8,662.50

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Solution

The fourth proportional to 15,735.93, 21,715.74 and 8,662.50 is: 11,954.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,735.93 : 21,715.74 = 8,662.50 : x
  2. Step 2: Convert to fraction form
    15,735.93/21,715.74 = 8,662.50/x
  3. Step 3: Cross multiply
    15,735.93x = 21,715.74 × 8,662.50
  4. Step 4: Simplify right side
    15,735.93x = 188,112,597.75
  5. Step 5: Solve for x
    x = 188,112,597.75/15,735.93
  6. Step 6: Final answer
    x = 11,954.34

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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.