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Finding the Fourth Proportional to 8,641.40, 12,965.23 and 3,019.90

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Solution

The fourth proportional to 8,641.40, 12,965.23 and 3,019.90 is: 4,530.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,641.40 : 12,965.23 = 3,019.90 : x
  2. Step 2: Convert to fraction form
    8,641.40/12,965.23 = 3,019.90/x
  3. Step 3: Cross multiply
    8,641.40x = 12,965.23 × 3,019.90
  4. Step 4: Simplify right side
    8,641.40x = 39,153,708.36
  5. Step 5: Solve for x
    x = 39,153,708.36/8,641.40
  6. Step 6: Final answer
    x = 4,530.94

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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.