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Finding the Fourth Proportional to 1,806.48, 2,709.72 and 1,157.64

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Solution

The fourth proportional to 1,806.48, 2,709.72 and 1,157.64 is: 1,736.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,806.48 : 2,709.72 = 1,157.64 : x
  2. Step 2: Convert to fraction form
    1,806.48/2,709.72 = 1,157.64/x
  3. Step 3: Cross multiply
    1,806.48x = 2,709.72 × 1,157.64
  4. Step 4: Simplify right side
    1,806.48x = 3,136,880.26
  5. Step 5: Solve for x
    x = 3,136,880.26/1,806.48
  6. Step 6: Final answer
    x = 1,736.46

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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.