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Finding the Fourth Proportional to 10,656.58, 15,965.42 and 8,991.39

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Solution

The fourth proportional to 10,656.58, 15,965.42 and 8,991.39 is: 13,470.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,656.58 : 15,965.42 = 8,991.39 : x
  2. Step 2: Convert to fraction form
    10,656.58/15,965.42 = 8,991.39/x
  3. Step 3: Cross multiply
    10,656.58x = 15,965.42 × 8,991.39
  4. Step 4: Simplify right side
    10,656.58x = 143,551,317.73
  5. Step 5: Solve for x
    x = 143,551,317.73/10,656.58
  6. Step 6: Final answer
    x = 13,470.67

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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.