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Finding the Fourth Proportional to 6,901.70, 10,352.90 and 1,972.06

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Solution

The fourth proportional to 6,901.70, 10,352.90 and 1,972.06 is: 2,958.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,901.70 : 10,352.90 = 1,972.06 : x
  2. Step 2: Convert to fraction form
    6,901.70/10,352.90 = 1,972.06/x
  3. Step 3: Cross multiply
    6,901.70x = 10,352.90 × 1,972.06
  4. Step 4: Simplify right side
    6,901.70x = 20,416,539.97
  5. Step 5: Solve for x
    x = 20,416,539.97/6,901.70
  6. Step 6: Final answer
    x = 2,958.19

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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.