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Finding the Fourth Proportional to 2,695.42, 3,720.36 and 1,647.82

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Solution

The fourth proportional to 2,695.42, 3,720.36 and 1,647.82 is: 2,274.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,695.42 : 3,720.36 = 1,647.82 : x
  2. Step 2: Convert to fraction form
    2,695.42/3,720.36 = 1,647.82/x
  3. Step 3: Cross multiply
    2,695.42x = 3,720.36 × 1,647.82
  4. Step 4: Simplify right side
    2,695.42x = 6,130,483.62
  5. Step 5: Solve for x
    x = 6,130,483.62/2,695.42
  6. Step 6: Final answer
    x = 2,274.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.