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Finding the Fourth Proportional to 2,712.17, 4,064 and 1,615.94

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Solution

The fourth proportional to 2,712.17, 4,064 and 1,615.94 is: 2,421.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,712.17 : 4,064 = 1,615.94 : x
  2. Step 2: Convert to fraction form
    2,712.17/4,064 = 1,615.94/x
  3. Step 3: Cross multiply
    2,712.17x = 4,064 × 1,615.94
  4. Step 4: Simplify right side
    2,712.17x = 6,567,180.16
  5. Step 5: Solve for x
    x = 6,567,180.16/2,712.17
  6. Step 6: Final answer
    x = 2,421.37

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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.