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Finding the Fourth Proportional to 5,155.96, 7,731 and 1,645.28

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Solution

The fourth proportional to 5,155.96, 7,731 and 1,645.28 is: 2,466.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,155.96 : 7,731 = 1,645.28 : x
  2. Step 2: Convert to fraction form
    5,155.96/7,731 = 1,645.28/x
  3. Step 3: Cross multiply
    5,155.96x = 7,731 × 1,645.28
  4. Step 4: Simplify right side
    5,155.96x = 12,719,659.68
  5. Step 5: Solve for x
    x = 12,719,659.68/5,155.96
  6. Step 6: Final answer
    x = 2,466.98

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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.