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Finding the Fourth Proportional to 30,498.90, 45,743.63 and 8,314.07

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Solution

The fourth proportional to 30,498.90, 45,743.63 and 8,314.07 is: 12,469.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,498.90 : 45,743.63 = 8,314.07 : x
  2. Step 2: Convert to fraction form
    30,498.90/45,743.63 = 8,314.07/x
  3. Step 3: Cross multiply
    30,498.90x = 45,743.63 × 8,314.07
  4. Step 4: Simplify right side
    30,498.90x = 380,315,471.59
  5. Step 5: Solve for x
    x = 380,315,471.59/30,498.90
  6. Step 6: Final answer
    x = 12,469.81

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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.