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Finding the Fourth Proportional to 7,773.57, 11,660.49 and 1,930.23

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Solution

The fourth proportional to 7,773.57, 11,660.49 and 1,930.23 is: 2,895.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,773.57 : 11,660.49 = 1,930.23 : x
  2. Step 2: Convert to fraction form
    7,773.57/11,660.49 = 1,930.23/x
  3. Step 3: Cross multiply
    7,773.57x = 11,660.49 × 1,930.23
  4. Step 4: Simplify right side
    7,773.57x = 22,507,427.61
  5. Step 5: Solve for x
    x = 22,507,427.61/7,773.57
  6. Step 6: Final answer
    x = 2,895.38

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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.