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Finding the Fourth Proportional to 2,114.88, 2,920.32 and 2,006.16

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Solution

The fourth proportional to 2,114.88, 2,920.32 and 2,006.16 is: 2,770.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.88 : 2,920.32 = 2,006.16 : x
  2. Step 2: Convert to fraction form
    2,114.88/2,920.32 = 2,006.16/x
  3. Step 3: Cross multiply
    2,114.88x = 2,920.32 × 2,006.16
  4. Step 4: Simplify right side
    2,114.88x = 5,858,629.17
  5. Step 5: Solve for x
    x = 5,858,629.17/2,114.88
  6. Step 6: Final answer
    x = 2,770.19

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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.