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Finding the Fourth Proportional to 8,984.30, 13,474.05 and 3,140.30

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Solution

The fourth proportional to 8,984.30, 13,474.05 and 3,140.30 is: 4,709.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,984.30 : 13,474.05 = 3,140.30 : x
  2. Step 2: Convert to fraction form
    8,984.30/13,474.05 = 3,140.30/x
  3. Step 3: Cross multiply
    8,984.30x = 13,474.05 × 3,140.30
  4. Step 4: Simplify right side
    8,984.30x = 42,312,559.22
  5. Step 5: Solve for x
    x = 42,312,559.22/8,984.30
  6. Step 6: Final answer
    x = 4,709.61

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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.