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Finding the Fourth Proportional to 1,322.83, 1,986.72 and 1,214.47

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Solution

The fourth proportional to 1,322.83, 1,986.72 and 1,214.47 is: 1,823.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.83 : 1,986.72 = 1,214.47 : x
  2. Step 2: Convert to fraction form
    1,322.83/1,986.72 = 1,214.47/x
  3. Step 3: Cross multiply
    1,322.83x = 1,986.72 × 1,214.47
  4. Step 4: Simplify right side
    1,322.83x = 2,412,811.84
  5. Step 5: Solve for x
    x = 2,412,811.84/1,322.83
  6. Step 6: Final answer
    x = 1,823.98

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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.