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Finding the Fourth Proportional to 9,308.70, 13,970.37 and 8,215.26

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Solution

The fourth proportional to 9,308.70, 13,970.37 and 8,215.26 is: 12,329.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,308.70 : 13,970.37 = 8,215.26 : x
  2. Step 2: Convert to fraction form
    9,308.70/13,970.37 = 8,215.26/x
  3. Step 3: Cross multiply
    9,308.70x = 13,970.37 × 8,215.26
  4. Step 4: Simplify right side
    9,308.70x = 114,770,221.85
  5. Step 5: Solve for x
    x = 114,770,221.85/9,308.70
  6. Step 6: Final answer
    x = 12,329.35

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1.5x scale

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.