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Finding the Fourth Proportional to 9,377.58, 12,940.64 and 5,128.54

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Solution

The fourth proportional to 9,377.58, 12,940.64 and 5,128.54 is: 7,077.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,377.58 : 12,940.64 = 5,128.54 : x
  2. Step 2: Convert to fraction form
    9,377.58/12,940.64 = 5,128.54/x
  3. Step 3: Cross multiply
    9,377.58x = 12,940.64 × 5,128.54
  4. Step 4: Simplify right side
    9,377.58x = 66,366,589.87
  5. Step 5: Solve for x
    x = 66,366,589.87/9,377.58
  6. Step 6: Final answer
    x = 7,077.16

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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.