Home / 2,164.18-2,986.81-1,220

Finding the Fourth Proportional to 2,164.18, 2,986.81 and 1,220

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Solution

The fourth proportional to 2,164.18, 2,986.81 and 1,220 is: 1,683.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,164.18 : 2,986.81 = 1,220 : x
  2. Step 2: Convert to fraction form
    2,164.18/2,986.81 = 1,220/x
  3. Step 3: Cross multiply
    2,164.18x = 2,986.81 × 1,220
  4. Step 4: Simplify right side
    2,164.18x = 3,643,908.20
  5. Step 5: Solve for x
    x = 3,643,908.20/2,164.18
  6. Step 6: Final answer
    x = 1,683.74

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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.