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Finding the Fourth Proportional to 6,994.47, 10,491.81 and 1,729.50

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Solution

The fourth proportional to 6,994.47, 10,491.81 and 1,729.50 is: 2,594.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,994.47 : 10,491.81 = 1,729.50 : x
  2. Step 2: Convert to fraction form
    6,994.47/10,491.81 = 1,729.50/x
  3. Step 3: Cross multiply
    6,994.47x = 10,491.81 × 1,729.50
  4. Step 4: Simplify right side
    6,994.47x = 18,145,585.40
  5. Step 5: Solve for x
    x = 18,145,585.40/6,994.47
  6. Step 6: Final answer
    x = 2,594.28

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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.