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Finding the Fourth Proportional to 12,894.63, 19,340.70 and 4,127.19

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Solution

The fourth proportional to 12,894.63, 19,340.70 and 4,127.19 is: 6,190.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,894.63 : 19,340.70 = 4,127.19 : x
  2. Step 2: Convert to fraction form
    12,894.63/19,340.70 = 4,127.19/x
  3. Step 3: Cross multiply
    12,894.63x = 19,340.70 × 4,127.19
  4. Step 4: Simplify right side
    12,894.63x = 79,822,743.63
  5. Step 5: Solve for x
    x = 79,822,743.63/12,894.63
  6. Step 6: Final answer
    x = 6,190.39

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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.