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Finding the Fourth Proportional to 6,971.89, 9,616.98 and 4,137.40

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Solution

The fourth proportional to 6,971.89, 9,616.98 and 4,137.40 is: 5,707.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,971.89 : 9,616.98 = 4,137.40 : x
  2. Step 2: Convert to fraction form
    6,971.89/9,616.98 = 4,137.40/x
  3. Step 3: Cross multiply
    6,971.89x = 9,616.98 × 4,137.40
  4. Step 4: Simplify right side
    6,971.89x = 39,789,293.05
  5. Step 5: Solve for x
    x = 39,789,293.05/6,971.89
  6. Step 6: Final answer
    x = 5,707.10

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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.