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Finding the Fourth Proportional to 12,830.10, 19,245.15 and 12,149.70

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Solution

The fourth proportional to 12,830.10, 19,245.15 and 12,149.70 is: 18,224.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,830.10 : 19,245.15 = 12,149.70 : x
  2. Step 2: Convert to fraction form
    12,830.10/19,245.15 = 12,149.70/x
  3. Step 3: Cross multiply
    12,830.10x = 19,245.15 × 12,149.70
  4. Step 4: Simplify right side
    12,830.10x = 233,822,798.96
  5. Step 5: Solve for x
    x = 233,822,798.96/12,830.10
  6. Step 6: Final answer
    x = 18,224.55

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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.