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Finding the Fourth Proportional to 7,764.52, 11,646.62 and 1,921.16

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Solution

The fourth proportional to 7,764.52, 11,646.62 and 1,921.16 is: 2,881.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,764.52 : 11,646.62 = 1,921.16 : x
  2. Step 2: Convert to fraction form
    7,764.52/11,646.62 = 1,921.16/x
  3. Step 3: Cross multiply
    7,764.52x = 11,646.62 × 1,921.16
  4. Step 4: Simplify right side
    7,764.52x = 22,375,020.48
  5. Step 5: Solve for x
    x = 22,375,020.48/7,764.52
  6. Step 6: Final answer
    x = 2,881.70

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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.