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Finding the Fourth Proportional to 5,157.24, 7,736.16 and 1,870.68

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Solution

The fourth proportional to 5,157.24, 7,736.16 and 1,870.68 is: 2,806.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,157.24 : 7,736.16 = 1,870.68 : x
  2. Step 2: Convert to fraction form
    5,157.24/7,736.16 = 1,870.68/x
  3. Step 3: Cross multiply
    5,157.24x = 7,736.16 × 1,870.68
  4. Step 4: Simplify right side
    5,157.24x = 14,471,879.79
  5. Step 5: Solve for x
    x = 14,471,879.79/5,157.24
  6. Step 6: Final answer
    x = 2,806.13

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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.