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Finding the Fourth Proportional to 12,850, 19,277.92 and 4,642

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Solution

The fourth proportional to 12,850, 19,277.92 and 4,642 is: 6,964.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,850 : 19,277.92 = 4,642 : x
  2. Step 2: Convert to fraction form
    12,850/19,277.92 = 4,642/x
  3. Step 3: Cross multiply
    12,850x = 19,277.92 × 4,642
  4. Step 4: Simplify right side
    12,850x = 89,488,104.64
  5. Step 5: Solve for x
    x = 89,488,104.64/12,850
  6. Step 6: Final answer
    x = 6,964.05

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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.