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Finding the Fourth Proportional to 7,328.81, 10,993.11 and 1,782.14

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Solution

The fourth proportional to 7,328.81, 10,993.11 and 1,782.14 is: 2,673.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,328.81 : 10,993.11 = 1,782.14 : x
  2. Step 2: Convert to fraction form
    7,328.81/10,993.11 = 1,782.14/x
  3. Step 3: Cross multiply
    7,328.81x = 10,993.11 × 1,782.14
  4. Step 4: Simplify right side
    7,328.81x = 19,591,261.06
  5. Step 5: Solve for x
    x = 19,591,261.06/7,328.81
  6. Step 6: Final answer
    x = 2,673.18

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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.