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Finding the Fourth Proportional to 5,157.77, 7,731.87 and 1,869.98

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Solution

The fourth proportional to 5,157.77, 7,731.87 and 1,869.98 is: 2,803.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,157.77 : 7,731.87 = 1,869.98 : x
  2. Step 2: Convert to fraction form
    5,157.77/7,731.87 = 1,869.98/x
  3. Step 3: Cross multiply
    5,157.77x = 7,731.87 × 1,869.98
  4. Step 4: Simplify right side
    5,157.77x = 14,458,403.60
  5. Step 5: Solve for x
    x = 14,458,403.60/5,157.77
  6. Step 6: Final answer
    x = 2,803.23

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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.