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Finding the Fourth Proportional to 12,894.39, 19,340.51 and 5,101.11

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Solution

The fourth proportional to 12,894.39, 19,340.51 and 5,101.11 is: 7,651.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,894.39 : 19,340.51 = 5,101.11 : x
  2. Step 2: Convert to fraction form
    12,894.39/19,340.51 = 5,101.11/x
  3. Step 3: Cross multiply
    12,894.39x = 19,340.51 × 5,101.11
  4. Step 4: Simplify right side
    12,894.39x = 98,658,043.46
  5. Step 5: Solve for x
    x = 98,658,043.46/12,894.39
  6. Step 6: Final answer
    x = 7,651.24

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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.