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Finding the Fourth Proportional to 5,898.84, 8,140.22 and 3,209.99

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Solution

The fourth proportional to 5,898.84, 8,140.22 and 3,209.99 is: 4,429.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,898.84 : 8,140.22 = 3,209.99 : x
  2. Step 2: Convert to fraction form
    5,898.84/8,140.22 = 3,209.99/x
  3. Step 3: Cross multiply
    5,898.84x = 8,140.22 × 3,209.99
  4. Step 4: Simplify right side
    5,898.84x = 26,129,968.05
  5. Step 5: Solve for x
    x = 26,129,968.05/5,898.84
  6. Step 6: Final answer
    x = 4,429.68

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