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Finding the Fourth Proportional to 6,984.38, 9,638.64 and 3,840.77

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Solution

The fourth proportional to 6,984.38, 9,638.64 and 3,840.77 is: 5,300.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,984.38 : 9,638.64 = 3,840.77 : x
  2. Step 2: Convert to fraction form
    6,984.38/9,638.64 = 3,840.77/x
  3. Step 3: Cross multiply
    6,984.38x = 9,638.64 × 3,840.77
  4. Step 4: Simplify right side
    6,984.38x = 37,019,751.16
  5. Step 5: Solve for x
    x = 37,019,751.16/6,984.38
  6. Step 6: Final answer
    x = 5,300.37

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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.