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Finding the Fourth Proportional to 7,764.59, 11,646.75 and 1,921.20

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Solution

The fourth proportional to 7,764.59, 11,646.75 and 1,921.20 is: 2,881.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,764.59 : 11,646.75 = 1,921.20 : x
  2. Step 2: Convert to fraction form
    7,764.59/11,646.75 = 1,921.20/x
  3. Step 3: Cross multiply
    7,764.59x = 11,646.75 × 1,921.20
  4. Step 4: Simplify right side
    7,764.59x = 22,375,726.49
  5. Step 5: Solve for x
    x = 22,375,726.49/7,764.59
  6. Step 6: Final answer
    x = 2,881.77

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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.