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Finding the Fourth Proportional to 1,894.94, 2,614 and 1,289.06

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Solution

The fourth proportional to 1,894.94, 2,614 and 1,289.06 is: 1,778.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,894.94 : 2,614 = 1,289.06 : x
  2. Step 2: Convert to fraction form
    1,894.94/2,614 = 1,289.06/x
  3. Step 3: Cross multiply
    1,894.94x = 2,614 × 1,289.06
  4. Step 4: Simplify right side
    1,894.94x = 3,369,602.84
  5. Step 5: Solve for x
    x = 3,369,602.84/1,894.94
  6. Step 6: Final answer
    x = 1,778.21

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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.