Home / 1,523.12-2,271.31-1,509.26

Finding the Fourth Proportional to 1,523.12, 2,271.31 and 1,509.26

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Solution

The fourth proportional to 1,523.12, 2,271.31 and 1,509.26 is: 2,250.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523.12 : 2,271.31 = 1,509.26 : x
  2. Step 2: Convert to fraction form
    1,523.12/2,271.31 = 1,509.26/x
  3. Step 3: Cross multiply
    1,523.12x = 2,271.31 × 1,509.26
  4. Step 4: Simplify right side
    1,523.12x = 3,427,989.78
  5. Step 5: Solve for x
    x = 3,427,989.78/1,523.12
  6. Step 6: Final answer
    x = 2,250.64

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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.