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Finding the Fourth Proportional to 9,116.99, 12,578.06 and 6,128.09

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Solution

The fourth proportional to 9,116.99, 12,578.06 and 6,128.09 is: 8,454.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,116.99 : 12,578.06 = 6,128.09 : x
  2. Step 2: Convert to fraction form
    9,116.99/12,578.06 = 6,128.09/x
  3. Step 3: Cross multiply
    9,116.99x = 12,578.06 × 6,128.09
  4. Step 4: Simplify right side
    9,116.99x = 77,079,531.07
  5. Step 5: Solve for x
    x = 77,079,531.07/9,116.99
  6. Step 6: Final answer
    x = 8,454.49

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Double scale
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Similar ratio
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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.