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Finding the Fourth Proportional to 9,321.84, 13,985.19 and 3,478.50

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Solution

The fourth proportional to 9,321.84, 13,985.19 and 3,478.50 is: 5,218.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,321.84 : 13,985.19 = 3,478.50 : x
  2. Step 2: Convert to fraction form
    9,321.84/13,985.19 = 3,478.50/x
  3. Step 3: Cross multiply
    9,321.84x = 13,985.19 × 3,478.50
  4. Step 4: Simplify right side
    9,321.84x = 48,647,483.42
  5. Step 5: Solve for x
    x = 48,647,483.42/9,321.84
  6. Step 6: Final answer
    x = 5,218.66

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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.