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Finding the Fourth Proportional to 2,762.72, 3,811.62 and 1,876.98

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Solution

The fourth proportional to 2,762.72, 3,811.62 and 1,876.98 is: 2,589.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,762.72 : 3,811.62 = 1,876.98 : x
  2. Step 2: Convert to fraction form
    2,762.72/3,811.62 = 1,876.98/x
  3. Step 3: Cross multiply
    2,762.72x = 3,811.62 × 1,876.98
  4. Step 4: Simplify right side
    2,762.72x = 7,154,334.51
  5. Step 5: Solve for x
    x = 7,154,334.51/2,762.72
  6. Step 6: Final answer
    x = 2,589.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.