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Finding the Fourth Proportional to 5,076.78, 7,615.08 and 1,957.47

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Solution

The fourth proportional to 5,076.78, 7,615.08 and 1,957.47 is: 2,936.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,076.78 : 7,615.08 = 1,957.47 : x
  2. Step 2: Convert to fraction form
    5,076.78/7,615.08 = 1,957.47/x
  3. Step 3: Cross multiply
    5,076.78x = 7,615.08 × 1,957.47
  4. Step 4: Simplify right side
    5,076.78x = 14,906,290.65
  5. Step 5: Solve for x
    x = 14,906,290.65/5,076.78
  6. Step 6: Final answer
    x = 2,936.17

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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.