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Finding the Fourth Proportional to 12,924.81, 17,838.18 and 7,891.95

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Solution

The fourth proportional to 12,924.81, 17,838.18 and 7,891.95 is: 10,892.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,924.81 : 17,838.18 = 7,891.95 : x
  2. Step 2: Convert to fraction form
    12,924.81/17,838.18 = 7,891.95/x
  3. Step 3: Cross multiply
    12,924.81x = 17,838.18 × 7,891.95
  4. Step 4: Simplify right side
    12,924.81x = 140,778,024.65
  5. Step 5: Solve for x
    x = 140,778,024.65/12,924.81
  6. Step 6: Final answer
    x = 10,892.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.