Home / 1,318.40-1,965.64-1,284.20

Finding the Fourth Proportional to 1,318.40, 1,965.64 and 1,284.20

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Solution

The fourth proportional to 1,318.40, 1,965.64 and 1,284.20 is: 1,914.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,318.40 : 1,965.64 = 1,284.20 : x
  2. Step 2: Convert to fraction form
    1,318.40/1,965.64 = 1,284.20/x
  3. Step 3: Cross multiply
    1,318.40x = 1,965.64 × 1,284.20
  4. Step 4: Simplify right side
    1,318.40x = 2,524,274.89
  5. Step 5: Solve for x
    x = 2,524,274.89/1,318.40
  6. Step 6: Final answer
    x = 1,914.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.