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Finding the Fourth Proportional to 30,309.28, 45,460.74 and 8,125

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Solution

The fourth proportional to 30,309.28, 45,460.74 and 8,125 is: 12,186.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,309.28 : 45,460.74 = 8,125 : x
  2. Step 2: Convert to fraction form
    30,309.28/45,460.74 = 8,125/x
  3. Step 3: Cross multiply
    30,309.28x = 45,460.74 × 8,125
  4. Step 4: Simplify right side
    30,309.28x = 369,368,512.50
  5. Step 5: Solve for x
    x = 369,368,512.50/30,309.28
  6. Step 6: Final answer
    x = 12,186.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.