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Finding the Fourth Proportional to 9,816.80, 14,696.40 and 8,664.80

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Solution

The fourth proportional to 9,816.80, 14,696.40 and 8,664.80 is: 12,971.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,816.80 : 14,696.40 = 8,664.80 : x
  2. Step 2: Convert to fraction form
    9,816.80/14,696.40 = 8,664.80/x
  3. Step 3: Cross multiply
    9,816.80x = 14,696.40 × 8,664.80
  4. Step 4: Simplify right side
    9,816.80x = 127,341,366.72
  5. Step 5: Solve for x
    x = 127,341,366.72/9,816.80
  6. Step 6: Final answer
    x = 12,971.78

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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.