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Finding the Fourth Proportional to 7,683.46, 11,528.43 and 7,070.50

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Solution

The fourth proportional to 7,683.46, 11,528.43 and 7,070.50 is: 10,608.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,683.46 : 11,528.43 = 7,070.50 : x
  2. Step 2: Convert to fraction form
    7,683.46/11,528.43 = 7,070.50/x
  3. Step 3: Cross multiply
    7,683.46x = 11,528.43 × 7,070.50
  4. Step 4: Simplify right side
    7,683.46x = 81,511,764.32
  5. Step 5: Solve for x
    x = 81,511,764.32/7,683.46
  6. Step 6: Final answer
    x = 10,608.73

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Half scale
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Double scale
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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.