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Finding the Fourth Proportional to 6,901.46, 10,351.98 and 1,971.11

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Solution

The fourth proportional to 6,901.46, 10,351.98 and 1,971.11 is: 2,956.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,901.46 : 10,351.98 = 1,971.11 : x
  2. Step 2: Convert to fraction form
    6,901.46/10,351.98 = 1,971.11/x
  3. Step 3: Cross multiply
    6,901.46x = 10,351.98 × 1,971.11
  4. Step 4: Simplify right side
    6,901.46x = 20,404,829.68
  5. Step 5: Solve for x
    x = 20,404,829.68/6,901.46
  6. Step 6: Final answer
    x = 2,956.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.