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Finding the Fourth Proportional to 5,157.26, 7,735.88 and 1,870.34

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Solution

The fourth proportional to 5,157.26, 7,735.88 and 1,870.34 is: 2,805.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,157.26 : 7,735.88 = 1,870.34 : x
  2. Step 2: Convert to fraction form
    5,157.26/7,735.88 = 1,870.34/x
  3. Step 3: Cross multiply
    5,157.26x = 7,735.88 × 1,870.34
  4. Step 4: Simplify right side
    5,157.26x = 14,468,749.81
  5. Step 5: Solve for x
    x = 14,468,749.81/5,157.26
  6. Step 6: Final answer
    x = 2,805.51

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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.