Home / 1,284.37-1,924.64-1,054.87

Finding the Fourth Proportional to 1,284.37, 1,924.64 and 1,054.87

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Solution

The fourth proportional to 1,284.37, 1,924.64 and 1,054.87 is: 1,580.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.37 : 1,924.64 = 1,054.87 : x
  2. Step 2: Convert to fraction form
    1,284.37/1,924.64 = 1,054.87/x
  3. Step 3: Cross multiply
    1,284.37x = 1,924.64 × 1,054.87
  4. Step 4: Simplify right side
    1,284.37x = 2,030,230.10
  5. Step 5: Solve for x
    x = 2,030,230.10/1,284.37
  6. Step 6: Final answer
    x = 1,580.73

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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.