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Finding the Fourth Proportional to 7,840.38, 10,820.08 and 4,696.50

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Solution

The fourth proportional to 7,840.38, 10,820.08 and 4,696.50 is: 6,481.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,840.38 : 10,820.08 = 4,696.50 : x
  2. Step 2: Convert to fraction form
    7,840.38/10,820.08 = 4,696.50/x
  3. Step 3: Cross multiply
    7,840.38x = 10,820.08 × 4,696.50
  4. Step 4: Simplify right side
    7,840.38x = 50,816,505.72
  5. Step 5: Solve for x
    x = 50,816,505.72/7,840.38
  6. Step 6: Final answer
    x = 6,481.38

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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.