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Finding the Fourth Proportional to 2,157.99, 3,237.29 and 696.65

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Solution

The fourth proportional to 2,157.99, 3,237.29 and 696.65 is: 1,045.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,157.99 : 3,237.29 = 696.65 : x
  2. Step 2: Convert to fraction form
    2,157.99/3,237.29 = 696.65/x
  3. Step 3: Cross multiply
    2,157.99x = 3,237.29 × 696.65
  4. Step 4: Simplify right side
    2,157.99x = 2,255,261.19
  5. Step 5: Solve for x
    x = 2,255,261.19/2,157.99
  6. Step 6: Final answer
    x = 1,045.07

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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.