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Finding the Fourth Proportional to 7,824, 11,725.38 and 2,888.88

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Solution

The fourth proportional to 7,824, 11,725.38 and 2,888.88 is: 4,329.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,824 : 11,725.38 = 2,888.88 : x
  2. Step 2: Convert to fraction form
    7,824/11,725.38 = 2,888.88/x
  3. Step 3: Cross multiply
    7,824x = 11,725.38 × 2,888.88
  4. Step 4: Simplify right side
    7,824x = 33,873,215.77
  5. Step 5: Solve for x
    x = 33,873,215.77/7,824
  6. Step 6: Final answer
    x = 4,329.40

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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.