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Finding the Fourth Proportional to 11,603, 16,012.06 and 6,297.70

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Solution

The fourth proportional to 11,603, 16,012.06 and 6,297.70 is: 8,690.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,603 : 16,012.06 = 6,297.70 : x
  2. Step 2: Convert to fraction form
    11,603/16,012.06 = 6,297.70/x
  3. Step 3: Cross multiply
    11,603x = 16,012.06 × 6,297.70
  4. Step 4: Simplify right side
    11,603x = 100,839,150.26
  5. Step 5: Solve for x
    x = 100,839,150.26/11,603
  6. Step 6: Final answer
    x = 8,690.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.