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Finding the Fourth Proportional to 5,157.63, 7,737.71 and 1,647.64

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Solution

The fourth proportional to 5,157.63, 7,737.71 and 1,647.64 is: 2,471.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,157.63 : 7,737.71 = 1,647.64 : x
  2. Step 2: Convert to fraction form
    5,157.63/7,737.71 = 1,647.64/x
  3. Step 3: Cross multiply
    5,157.63x = 7,737.71 × 1,647.64
  4. Step 4: Simplify right side
    5,157.63x = 12,748,913.58
  5. Step 5: Solve for x
    x = 12,748,913.58/5,157.63
  6. Step 6: Final answer
    x = 2,471.86

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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.