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Finding the Fourth Proportional to 2,164.86, 2,986.47 and 1,544.22

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Solution

The fourth proportional to 2,164.86, 2,986.47 and 1,544.22 is: 2,130.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,164.86 : 2,986.47 = 1,544.22 : x
  2. Step 2: Convert to fraction form
    2,164.86/2,986.47 = 1,544.22/x
  3. Step 3: Cross multiply
    2,164.86x = 2,986.47 × 1,544.22
  4. Step 4: Simplify right side
    2,164.86x = 4,611,766.70
  5. Step 5: Solve for x
    x = 4,611,766.70/2,164.86
  6. Step 6: Final answer
    x = 2,130.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.