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Finding the Fourth Proportional to 6,984.63, 9,638.51 and 4,151.97

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Solution

The fourth proportional to 6,984.63, 9,638.51 and 4,151.97 is: 5,729.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,984.63 : 9,638.51 = 4,151.97 : x
  2. Step 2: Convert to fraction form
    6,984.63/9,638.51 = 4,151.97/x
  3. Step 3: Cross multiply
    6,984.63x = 9,638.51 × 4,151.97
  4. Step 4: Simplify right side
    6,984.63x = 40,018,783.60
  5. Step 5: Solve for x
    x = 40,018,783.60/6,984.63
  6. Step 6: Final answer
    x = 5,729.55

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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.