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Finding the Fourth Proportional to 30,393.83, 45,589.04 and 8,205.52

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Solution

The fourth proportional to 30,393.83, 45,589.04 and 8,205.52 is: 12,307.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,393.83 : 45,589.04 = 8,205.52 : x
  2. Step 2: Convert to fraction form
    30,393.83/45,589.04 = 8,205.52/x
  3. Step 3: Cross multiply
    30,393.83x = 45,589.04 × 8,205.52
  4. Step 4: Simplify right side
    30,393.83x = 374,081,848.45
  5. Step 5: Solve for x
    x = 374,081,848.45/30,393.83
  6. Step 6: Final answer
    x = 12,307.82

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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.