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Finding the Fourth Proportional to 1,560.36, 2,328.36 and 1,422.36

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Solution

The fourth proportional to 1,560.36, 2,328.36 and 1,422.36 is: 2,122.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,560.36 : 2,328.36 = 1,422.36 : x
  2. Step 2: Convert to fraction form
    1,560.36/2,328.36 = 1,422.36/x
  3. Step 3: Cross multiply
    1,560.36x = 2,328.36 × 1,422.36
  4. Step 4: Simplify right side
    1,560.36x = 3,311,766.13
  5. Step 5: Solve for x
    x = 3,311,766.13/1,560.36
  6. Step 6: Final answer
    x = 2,122.44

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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.