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Finding the Fourth Proportional to 19,676.20, 29,514.30 and 14,427.40

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Solution

The fourth proportional to 19,676.20, 29,514.30 and 14,427.40 is: 21,641.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,676.20 : 29,514.30 = 14,427.40 : x
  2. Step 2: Convert to fraction form
    19,676.20/29,514.30 = 14,427.40/x
  3. Step 3: Cross multiply
    19,676.20x = 29,514.30 × 14,427.40
  4. Step 4: Simplify right side
    19,676.20x = 425,814,611.82
  5. Step 5: Solve for x
    x = 425,814,611.82/19,676.20
  6. Step 6: Final answer
    x = 21,641.10

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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.