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Finding the Fourth Proportional to 1,695.72, 2,538.60 and 1,286.46

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Solution

The fourth proportional to 1,695.72, 2,538.60 and 1,286.46 is: 1,925.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,695.72 : 2,538.60 = 1,286.46 : x
  2. Step 2: Convert to fraction form
    1,695.72/2,538.60 = 1,286.46/x
  3. Step 3: Cross multiply
    1,695.72x = 2,538.60 × 1,286.46
  4. Step 4: Simplify right side
    1,695.72x = 3,265,807.36
  5. Step 5: Solve for x
    x = 3,265,807.36/1,695.72
  6. Step 6: Final answer
    x = 1,925.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.