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Finding the Fourth Proportional to 5,155.73, 7,726.64 and 3,762.53

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Solution

The fourth proportional to 5,155.73, 7,726.64 and 3,762.53 is: 5,638.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,155.73 : 7,726.64 = 3,762.53 : x
  2. Step 2: Convert to fraction form
    5,155.73/7,726.64 = 3,762.53/x
  3. Step 3: Cross multiply
    5,155.73x = 7,726.64 × 3,762.53
  4. Step 4: Simplify right side
    5,155.73x = 29,071,657.35
  5. Step 5: Solve for x
    x = 29,071,657.35/5,155.73
  6. Step 6: Final answer
    x = 5,638.71

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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.