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Finding the Fourth Proportional to 21,924.69, 32,878.92 and 7,880.93

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Solution

The fourth proportional to 21,924.69, 32,878.92 and 7,880.93 is: 11,818.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,924.69 : 32,878.92 = 7,880.93 : x
  2. Step 2: Convert to fraction form
    21,924.69/32,878.92 = 7,880.93/x
  3. Step 3: Cross multiply
    21,924.69x = 32,878.92 × 7,880.93
  4. Step 4: Simplify right side
    21,924.69x = 259,116,467.00
  5. Step 5: Solve for x
    x = 259,116,467.00/21,924.69
  6. Step 6: Final answer
    x = 11,818.48

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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.