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Finding the Fourth Proportional to 7,288.80, 10,946.40 and 6,381.60

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Solution

The fourth proportional to 7,288.80, 10,946.40 and 6,381.60 is: 9,583.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,288.80 : 10,946.40 = 6,381.60 : x
  2. Step 2: Convert to fraction form
    7,288.80/10,946.40 = 6,381.60/x
  3. Step 3: Cross multiply
    7,288.80x = 10,946.40 × 6,381.60
  4. Step 4: Simplify right side
    7,288.80x = 69,855,546.24
  5. Step 5: Solve for x
    x = 69,855,546.24/7,288.80
  6. Step 6: Final answer
    x = 9,583.96

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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.