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Finding the Fourth Proportional to 30,391.76, 45,587.66 and 8,205.12

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Solution

The fourth proportional to 30,391.76, 45,587.66 and 8,205.12 is: 12,307.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,391.76 : 45,587.66 = 8,205.12 : x
  2. Step 2: Convert to fraction form
    30,391.76/45,587.66 = 8,205.12/x
  3. Step 3: Cross multiply
    30,391.76x = 45,587.66 × 8,205.12
  4. Step 4: Simplify right side
    30,391.76x = 374,052,179.79
  5. Step 5: Solve for x
    x = 374,052,179.79/30,391.76
  6. Step 6: Final answer
    x = 12,307.68

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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.