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Finding the Fourth Proportional to 4,890.54, 7,336.08 and 1,968.47

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Solution

The fourth proportional to 4,890.54, 7,336.08 and 1,968.47 is: 2,952.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,890.54 : 7,336.08 = 1,968.47 : x
  2. Step 2: Convert to fraction form
    4,890.54/7,336.08 = 1,968.47/x
  3. Step 3: Cross multiply
    4,890.54x = 7,336.08 × 1,968.47
  4. Step 4: Simplify right side
    4,890.54x = 14,440,816.72
  5. Step 5: Solve for x
    x = 14,440,816.72/4,890.54
  6. Step 6: Final answer
    x = 2,952.81

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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.