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Finding the Fourth Proportional to 2,411.47, 3,617.84 and 768.03

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Solution

The fourth proportional to 2,411.47, 3,617.84 and 768.03 is: 1,152.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,411.47 : 3,617.84 = 768.03 : x
  2. Step 2: Convert to fraction form
    2,411.47/3,617.84 = 768.03/x
  3. Step 3: Cross multiply
    2,411.47x = 3,617.84 × 768.03
  4. Step 4: Simplify right side
    2,411.47x = 2,778,609.66
  5. Step 5: Solve for x
    x = 2,778,609.66/2,411.47
  6. Step 6: Final answer
    x = 1,152.25

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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.