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Finding the Fourth Proportional to 5,283.84, 7,909.20 and 3,898.68

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Solution

The fourth proportional to 5,283.84, 7,909.20 and 3,898.68 is: 5,835.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,283.84 : 7,909.20 = 3,898.68 : x
  2. Step 2: Convert to fraction form
    5,283.84/7,909.20 = 3,898.68/x
  3. Step 3: Cross multiply
    5,283.84x = 7,909.20 × 3,898.68
  4. Step 4: Simplify right side
    5,283.84x = 30,835,439.86
  5. Step 5: Solve for x
    x = 30,835,439.86/5,283.84
  6. Step 6: Final answer
    x = 5,835.80

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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.