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Finding the Fourth Proportional to 20,643.64, 30,878.68 and 19,147.96

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Solution

The fourth proportional to 20,643.64, 30,878.68 and 19,147.96 is: 28,641.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,643.64 : 30,878.68 = 19,147.96 : x
  2. Step 2: Convert to fraction form
    20,643.64/30,878.68 = 19,147.96/x
  3. Step 3: Cross multiply
    20,643.64x = 30,878.68 × 19,147.96
  4. Step 4: Simplify right side
    20,643.64x = 591,263,729.49
  5. Step 5: Solve for x
    x = 591,263,729.49/20,643.64
  6. Step 6: Final answer
    x = 28,641.45

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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.