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Finding the Fourth Proportional to 7,312.80, 10,982.40 and 6,405.60

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Solution

The fourth proportional to 7,312.80, 10,982.40 and 6,405.60 is: 9,619.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,312.80 : 10,982.40 = 6,405.60 : x
  2. Step 2: Convert to fraction form
    7,312.80/10,982.40 = 6,405.60/x
  3. Step 3: Cross multiply
    7,312.80x = 10,982.40 × 6,405.60
  4. Step 4: Simplify right side
    7,312.80x = 70,348,861.44
  5. Step 5: Solve for x
    x = 70,348,861.44/7,312.80
  6. Step 6: Final answer
    x = 9,619.96

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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.