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Finding the Fourth Proportional to 30,704.58, 46,056.95 and 8,519.15

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Solution

The fourth proportional to 30,704.58, 46,056.95 and 8,519.15 is: 12,778.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,704.58 : 46,056.95 = 8,519.15 : x
  2. Step 2: Convert to fraction form
    30,704.58/46,056.95 = 8,519.15/x
  3. Step 3: Cross multiply
    30,704.58x = 46,056.95 × 8,519.15
  4. Step 4: Simplify right side
    30,704.58x = 392,365,792.71
  5. Step 5: Solve for x
    x = 392,365,792.71/30,704.58
  6. Step 6: Final answer
    x = 12,778.74

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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.