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Finding the Fourth Proportional to 11,969.47, 17,950.86 and 7,157.76

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Solution

The fourth proportional to 11,969.47, 17,950.86 and 7,157.76 is: 10,734.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,969.47 : 17,950.86 = 7,157.76 : x
  2. Step 2: Convert to fraction form
    11,969.47/17,950.86 = 7,157.76/x
  3. Step 3: Cross multiply
    11,969.47x = 17,950.86 × 7,157.76
  4. Step 4: Simplify right side
    11,969.47x = 128,487,911.88
  5. Step 5: Solve for x
    x = 128,487,911.88/11,969.47
  6. Step 6: Final answer
    x = 10,734.64

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1.5x scale

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.