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Finding the Fourth Proportional to 19,671.84, 29,507.22 and 7,984.68

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Solution

The fourth proportional to 19,671.84, 29,507.22 and 7,984.68 is: 11,976.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,671.84 : 29,507.22 = 7,984.68 : x
  2. Step 2: Convert to fraction form
    19,671.84/29,507.22 = 7,984.68/x
  3. Step 3: Cross multiply
    19,671.84x = 29,507.22 × 7,984.68
  4. Step 4: Simplify right side
    19,671.84x = 235,605,709.39
  5. Step 5: Solve for x
    x = 235,605,709.39/19,671.84
  6. Step 6: Final answer
    x = 11,976.80

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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.