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Finding the Fourth Proportional to 3,076.66, 4,615.01 and 768.16

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Solution

The fourth proportional to 3,076.66, 4,615.01 and 768.16 is: 1,152.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,076.66 : 4,615.01 = 768.16 : x
  2. Step 2: Convert to fraction form
    3,076.66/4,615.01 = 768.16/x
  3. Step 3: Cross multiply
    3,076.66x = 4,615.01 × 768.16
  4. Step 4: Simplify right side
    3,076.66x = 3,545,066.08
  5. Step 5: Solve for x
    x = 3,545,066.08/3,076.66
  6. Step 6: Final answer
    x = 1,152.24

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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.