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Finding the Fourth Proportional to 12,664.77, 18,997.01 and 5,642.99

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Solution

The fourth proportional to 12,664.77, 18,997.01 and 5,642.99 is: 8,464.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,664.77 : 18,997.01 = 5,642.99 : x
  2. Step 2: Convert to fraction form
    12,664.77/18,997.01 = 5,642.99/x
  3. Step 3: Cross multiply
    12,664.77x = 18,997.01 × 5,642.99
  4. Step 4: Simplify right side
    12,664.77x = 107,199,937.46
  5. Step 5: Solve for x
    x = 107,199,937.46/12,664.77
  6. Step 6: Final answer
    x = 8,464.42

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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.