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Finding the Fourth Proportional to 3,695.78, 5,071.47 and 3,361.66

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Solution

The fourth proportional to 3,695.78, 5,071.47 and 3,361.66 is: 4,612.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,695.78 : 5,071.47 = 3,361.66 : x
  2. Step 2: Convert to fraction form
    3,695.78/5,071.47 = 3,361.66/x
  3. Step 3: Cross multiply
    3,695.78x = 5,071.47 × 3,361.66
  4. Step 4: Simplify right side
    3,695.78x = 17,048,557.84
  5. Step 5: Solve for x
    x = 17,048,557.84/3,695.78
  6. Step 6: Final answer
    x = 4,612.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.