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Finding the Fourth Proportional to 6,942.61, 9,580.80 and 3,798.80

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Solution

The fourth proportional to 6,942.61, 9,580.80 and 3,798.80 is: 5,242.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,942.61 : 9,580.80 = 3,798.80 : x
  2. Step 2: Convert to fraction form
    6,942.61/9,580.80 = 3,798.80/x
  3. Step 3: Cross multiply
    6,942.61x = 9,580.80 × 3,798.80
  4. Step 4: Simplify right side
    6,942.61x = 36,395,543.04
  5. Step 5: Solve for x
    x = 36,395,543.04/6,942.61
  6. Step 6: Final answer
    x = 5,242.34

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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.