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Finding the Fourth Proportional to 4,992, 6,888.96 and 2,784

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Solution

The fourth proportional to 4,992, 6,888.96 and 2,784 is: 3,841.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,992 : 6,888.96 = 2,784 : x
  2. Step 2: Convert to fraction form
    4,992/6,888.96 = 2,784/x
  3. Step 3: Cross multiply
    4,992x = 6,888.96 × 2,784
  4. Step 4: Simplify right side
    4,992x = 19,178,864.64
  5. Step 5: Solve for x
    x = 19,178,864.64/4,992
  6. Step 6: Final answer
    x = 3,841.92

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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.