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Finding the Fourth Proportional to 19,877.67, 29,820.15 and 8,184.51

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Solution

The fourth proportional to 19,877.67, 29,820.15 and 8,184.51 is: 12,278.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,877.67 : 29,820.15 = 8,184.51 : x
  2. Step 2: Convert to fraction form
    19,877.67/29,820.15 = 8,184.51/x
  3. Step 3: Cross multiply
    19,877.67x = 29,820.15 × 8,184.51
  4. Step 4: Simplify right side
    19,877.67x = 244,063,315.88
  5. Step 5: Solve for x
    x = 244,063,315.88/19,877.67
  6. Step 6: Final answer
    x = 12,278.27

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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.