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Finding the Fourth Proportional to 13,775.80, 20,652.09 and 5,978.74

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Solution

The fourth proportional to 13,775.80, 20,652.09 and 5,978.74 is: 8,963.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,775.80 : 20,652.09 = 5,978.74 : x
  2. Step 2: Convert to fraction form
    13,775.80/20,652.09 = 5,978.74/x
  3. Step 3: Cross multiply
    13,775.80x = 20,652.09 × 5,978.74
  4. Step 4: Simplify right side
    13,775.80x = 123,473,476.57
  5. Step 5: Solve for x
    x = 123,473,476.57/13,775.80
  6. Step 6: Final answer
    x = 8,963.07

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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.