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Finding the Fourth Proportional to 12,573.63, 18,863.15 and 3,809.23

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Solution

The fourth proportional to 12,573.63, 18,863.15 and 3,809.23 is: 5,714.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,573.63 : 18,863.15 = 3,809.23 : x
  2. Step 2: Convert to fraction form
    12,573.63/18,863.15 = 3,809.23/x
  3. Step 3: Cross multiply
    12,573.63x = 18,863.15 × 3,809.23
  4. Step 4: Simplify right side
    12,573.63x = 71,854,010.67
  5. Step 5: Solve for x
    x = 71,854,010.67/12,573.63
  6. Step 6: Final answer
    x = 5,714.66

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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.