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Finding the Fourth Proportional to 2,161.78, 2,984.25 and 1,415.77

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Solution

The fourth proportional to 2,161.78, 2,984.25 and 1,415.77 is: 1,954.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,161.78 : 2,984.25 = 1,415.77 : x
  2. Step 2: Convert to fraction form
    2,161.78/2,984.25 = 1,415.77/x
  3. Step 3: Cross multiply
    2,161.78x = 2,984.25 × 1,415.77
  4. Step 4: Simplify right side
    2,161.78x = 4,225,011.62
  5. Step 5: Solve for x
    x = 4,225,011.62/2,161.78
  6. Step 6: Final answer
    x = 1,954.41

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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.