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Finding the Fourth Proportional to 15,281.68, 22,943.82 and 7,891.48

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Solution

The fourth proportional to 15,281.68, 22,943.82 and 7,891.48 is: 11,848.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,281.68 : 22,943.82 = 7,891.48 : x
  2. Step 2: Convert to fraction form
    15,281.68/22,943.82 = 7,891.48/x
  3. Step 3: Cross multiply
    15,281.68x = 22,943.82 × 7,891.48
  4. Step 4: Simplify right side
    15,281.68x = 181,060,696.65
  5. Step 5: Solve for x
    x = 181,060,696.65/15,281.68
  6. Step 6: Final answer
    x = 11,848.22

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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.