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Finding the Fourth Proportional to 12,473.63, 18,714.87 and 7,788.21

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Solution

The fourth proportional to 12,473.63, 18,714.87 and 7,788.21 is: 11,685.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,473.63 : 18,714.87 = 7,788.21 : x
  2. Step 2: Convert to fraction form
    12,473.63/18,714.87 = 7,788.21/x
  3. Step 3: Cross multiply
    12,473.63x = 18,714.87 × 7,788.21
  4. Step 4: Simplify right side
    12,473.63x = 145,755,267.50
  5. Step 5: Solve for x
    x = 145,755,267.50/12,473.63
  6. Step 6: Final answer
    x = 11,685.07

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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.