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Finding the Fourth Proportional to 6,997.32, 9,656.10 and 3,810.69

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Solution

The fourth proportional to 6,997.32, 9,656.10 and 3,810.69 is: 5,258.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,997.32 : 9,656.10 = 3,810.69 : x
  2. Step 2: Convert to fraction form
    6,997.32/9,656.10 = 3,810.69/x
  3. Step 3: Cross multiply
    6,997.32x = 9,656.10 × 3,810.69
  4. Step 4: Simplify right side
    6,997.32x = 36,796,403.71
  5. Step 5: Solve for x
    x = 36,796,403.71/6,997.32
  6. Step 6: Final answer
    x = 5,258.64

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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.