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Finding the Fourth Proportional to 9,921.22, 14,881.83 and 7,731.59

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Solution

The fourth proportional to 9,921.22, 14,881.83 and 7,731.59 is: 11,597.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,921.22 : 14,881.83 = 7,731.59 : x
  2. Step 2: Convert to fraction form
    9,921.22/14,881.83 = 7,731.59/x
  3. Step 3: Cross multiply
    9,921.22x = 14,881.83 × 7,731.59
  4. Step 4: Simplify right side
    9,921.22x = 115,060,208.01
  5. Step 5: Solve for x
    x = 115,060,208.01/9,921.22
  6. Step 6: Final answer
    x = 11,597.39

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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.