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Finding the Fourth Proportional to 9,137.16, 12,609.28 and 4,945.41

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Solution

The fourth proportional to 9,137.16, 12,609.28 and 4,945.41 is: 6,824.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,137.16 : 12,609.28 = 4,945.41 : x
  2. Step 2: Convert to fraction form
    9,137.16/12,609.28 = 4,945.41/x
  3. Step 3: Cross multiply
    9,137.16x = 12,609.28 × 4,945.41
  4. Step 4: Simplify right side
    9,137.16x = 62,358,034.68
  5. Step 5: Solve for x
    x = 62,358,034.68/9,137.16
  6. Step 6: Final answer
    x = 6,824.66

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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.