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Finding the Fourth Proportional to 19,877.84, 29,825.72 and 8,199.12

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Solution

The fourth proportional to 19,877.84, 29,825.72 and 8,199.12 is: 12,302.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,877.84 : 29,825.72 = 8,199.12 : x
  2. Step 2: Convert to fraction form
    19,877.84/29,825.72 = 8,199.12/x
  3. Step 3: Cross multiply
    19,877.84x = 29,825.72 × 8,199.12
  4. Step 4: Simplify right side
    19,877.84x = 244,544,657.37
  5. Step 5: Solve for x
    x = 244,544,657.37/19,877.84
  6. Step 6: Final answer
    x = 12,302.38

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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.