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Finding the Fourth Proportional to 12,811.22, 19,166.16 and 9,700.21

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Solution

The fourth proportional to 12,811.22, 19,166.16 and 9,700.21 is: 14,511.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,811.22 : 19,166.16 = 9,700.21 : x
  2. Step 2: Convert to fraction form
    12,811.22/19,166.16 = 9,700.21/x
  3. Step 3: Cross multiply
    12,811.22x = 19,166.16 × 9,700.21
  4. Step 4: Simplify right side
    12,811.22x = 185,915,776.89
  5. Step 5: Solve for x
    x = 185,915,776.89/12,811.22
  6. Step 6: Final answer
    x = 14,511.95

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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.