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Finding the Fourth Proportional to 5,913.50, 8,871.75 and 2,215.74

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Solution

The fourth proportional to 5,913.50, 8,871.75 and 2,215.74 is: 3,324.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,913.50 : 8,871.75 = 2,215.74 : x
  2. Step 2: Convert to fraction form
    5,913.50/8,871.75 = 2,215.74/x
  3. Step 3: Cross multiply
    5,913.50x = 8,871.75 × 2,215.74
  4. Step 4: Simplify right side
    5,913.50x = 19,657,491.35
  5. Step 5: Solve for x
    x = 19,657,491.35/5,913.50
  6. Step 6: Final answer
    x = 3,324.17

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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.