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Finding the Fourth Proportional to 9,122, 12,588.37 and 4,930.25

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Solution

The fourth proportional to 9,122, 12,588.37 and 4,930.25 is: 6,803.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,122 : 12,588.37 = 4,930.25 : x
  2. Step 2: Convert to fraction form
    9,122/12,588.37 = 4,930.25/x
  3. Step 3: Cross multiply
    9,122x = 12,588.37 × 4,930.25
  4. Step 4: Simplify right side
    9,122x = 62,063,786.54
  5. Step 5: Solve for x
    x = 62,063,786.54/9,122
  6. Step 6: Final answer
    x = 6,803.75

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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.