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Finding the Fourth Proportional to 30,194.98, 45,292.47 and 8,009.28

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Solution

The fourth proportional to 30,194.98, 45,292.47 and 8,009.28 is: 12,013.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,194.98 : 45,292.47 = 8,009.28 : x
  2. Step 2: Convert to fraction form
    30,194.98/45,292.47 = 8,009.28/x
  3. Step 3: Cross multiply
    30,194.98x = 45,292.47 × 8,009.28
  4. Step 4: Simplify right side
    30,194.98x = 362,760,044.09
  5. Step 5: Solve for x
    x = 362,760,044.09/30,194.98
  6. Step 6: Final answer
    x = 12,013.92

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1.5x scale

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.