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Finding the Fourth Proportional to 5,157.72, 7,736.64 and 1,870.92

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Solution

The fourth proportional to 5,157.72, 7,736.64 and 1,870.92 is: 2,806.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,157.72 : 7,736.64 = 1,870.92 : x
  2. Step 2: Convert to fraction form
    5,157.72/7,736.64 = 1,870.92/x
  3. Step 3: Cross multiply
    5,157.72x = 7,736.64 × 1,870.92
  4. Step 4: Simplify right side
    5,157.72x = 14,474,634.51
  5. Step 5: Solve for x
    x = 14,474,634.51/5,157.72
  6. Step 6: Final answer
    x = 2,806.40

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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.