Home / 1,226.07-1,829.50-1,078.45

Finding the Fourth Proportional to 1,226.07, 1,829.50 and 1,078.45

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Solution

The fourth proportional to 1,226.07, 1,829.50 and 1,078.45 is: 1,609.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.07 : 1,829.50 = 1,078.45 : x
  2. Step 2: Convert to fraction form
    1,226.07/1,829.50 = 1,078.45/x
  3. Step 3: Cross multiply
    1,226.07x = 1,829.50 × 1,078.45
  4. Step 4: Simplify right side
    1,226.07x = 1,973,017.01
  5. Step 5: Solve for x
    x = 1,973,017.01/1,226.07
  6. Step 6: Final answer
    x = 1,609.22

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1.5x scale

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.