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Finding the Fourth Proportional to 1,599.70, 2,206.75 and 936.12

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Solution

The fourth proportional to 1,599.70, 2,206.75 and 936.12 is: 1,291.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,599.70 : 2,206.75 = 936.12 : x
  2. Step 2: Convert to fraction form
    1,599.70/2,206.75 = 936.12/x
  3. Step 3: Cross multiply
    1,599.70x = 2,206.75 × 936.12
  4. Step 4: Simplify right side
    1,599.70x = 2,065,782.81
  5. Step 5: Solve for x
    x = 2,065,782.81/1,599.70
  6. Step 6: Final answer
    x = 1,291.36

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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.