Home / 1,284.60-1,924.20-1,147.80

Finding the Fourth Proportional to 1,284.60, 1,924.20 and 1,147.80

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Solution

The fourth proportional to 1,284.60, 1,924.20 and 1,147.80 is: 1,719.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.60 : 1,924.20 = 1,147.80 : x
  2. Step 2: Convert to fraction form
    1,284.60/1,924.20 = 1,147.80/x
  3. Step 3: Cross multiply
    1,284.60x = 1,924.20 × 1,147.80
  4. Step 4: Simplify right side
    1,284.60x = 2,208,596.76
  5. Step 5: Solve for x
    x = 2,208,596.76/1,284.60
  6. Step 6: Final answer
    x = 1,719.29

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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.