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Finding the Fourth Proportional to 2,114.87, 2,917.54 and 1,369.07

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Solution

The fourth proportional to 2,114.87, 2,917.54 and 1,369.07 is: 1,888.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.87 : 2,917.54 = 1,369.07 : x
  2. Step 2: Convert to fraction form
    2,114.87/2,917.54 = 1,369.07/x
  3. Step 3: Cross multiply
    2,114.87x = 2,917.54 × 1,369.07
  4. Step 4: Simplify right side
    2,114.87x = 3,994,314.55
  5. Step 5: Solve for x
    x = 3,994,314.55/2,114.87
  6. Step 6: Final answer
    x = 1,888.68

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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.