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Finding the Fourth Proportional to 12,843.68, 19,287.48 and 7,942.28

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Solution

The fourth proportional to 12,843.68, 19,287.48 and 7,942.28 is: 11,927.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,843.68 : 19,287.48 = 7,942.28 : x
  2. Step 2: Convert to fraction form
    12,843.68/19,287.48 = 7,942.28/x
  3. Step 3: Cross multiply
    12,843.68x = 19,287.48 × 7,942.28
  4. Step 4: Simplify right side
    12,843.68x = 153,186,566.65
  5. Step 5: Solve for x
    x = 153,186,566.65/12,843.68
  6. Step 6: Final answer
    x = 11,927.00

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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.