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Finding the Fourth Proportional to 2,518.81, 3,777.71 and 875.43

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Solution

The fourth proportional to 2,518.81, 3,777.71 and 875.43 is: 1,312.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,518.81 : 3,777.71 = 875.43 : x
  2. Step 2: Convert to fraction form
    2,518.81/3,777.71 = 875.43/x
  3. Step 3: Cross multiply
    2,518.81x = 3,777.71 × 875.43
  4. Step 4: Simplify right side
    2,518.81x = 3,307,120.67
  5. Step 5: Solve for x
    x = 3,307,120.67/2,518.81
  6. Step 6: Final answer
    x = 1,312.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.