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Finding the Fourth Proportional to 9,285.80, 12,806.93 and 8,164.35

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Solution

The fourth proportional to 9,285.80, 12,806.93 and 8,164.35 is: 11,260.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,285.80 : 12,806.93 = 8,164.35 : x
  2. Step 2: Convert to fraction form
    9,285.80/12,806.93 = 8,164.35/x
  3. Step 3: Cross multiply
    9,285.80x = 12,806.93 × 8,164.35
  4. Step 4: Simplify right side
    9,285.80x = 104,560,279.36
  5. Step 5: Solve for x
    x = 104,560,279.36/9,285.80
  6. Step 6: Final answer
    x = 11,260.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.