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Finding the Fourth Proportional to 12,024.87, 18,044.10 and 6,478.09

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Solution

The fourth proportional to 12,024.87, 18,044.10 and 6,478.09 is: 9,720.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,024.87 : 18,044.10 = 6,478.09 : x
  2. Step 2: Convert to fraction form
    12,024.87/18,044.10 = 6,478.09/x
  3. Step 3: Cross multiply
    12,024.87x = 18,044.10 × 6,478.09
  4. Step 4: Simplify right side
    12,024.87x = 116,891,303.77
  5. Step 5: Solve for x
    x = 116,891,303.77/12,024.87
  6. Step 6: Final answer
    x = 9,720.80

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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.