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Finding the Fourth Proportional to 2,684.88, 3,705.84 and 2,160

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Solution

The fourth proportional to 2,684.88, 3,705.84 and 2,160 is: 2,981.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,684.88 : 3,705.84 = 2,160 : x
  2. Step 2: Convert to fraction form
    2,684.88/3,705.84 = 2,160/x
  3. Step 3: Cross multiply
    2,684.88x = 3,705.84 × 2,160
  4. Step 4: Simplify right side
    2,684.88x = 8,004,614.40
  5. Step 5: Solve for x
    x = 8,004,614.40/2,684.88
  6. Step 6: Final answer
    x = 2,981.37

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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.