Home / 2,290.77-3,429.36-1,509.30

Finding the Fourth Proportional to 2,290.77, 3,429.36 and 1,509.30

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Solution

The fourth proportional to 2,290.77, 3,429.36 and 1,509.30 is: 2,259.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,290.77 : 3,429.36 = 1,509.30 : x
  2. Step 2: Convert to fraction form
    2,290.77/3,429.36 = 1,509.30/x
  3. Step 3: Cross multiply
    2,290.77x = 3,429.36 × 1,509.30
  4. Step 4: Simplify right side
    2,290.77x = 5,175,933.05
  5. Step 5: Solve for x
    x = 5,175,933.05/2,290.77
  6. Step 6: Final answer
    x = 2,259.47

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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.