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Finding the Fourth Proportional to 2,115.78, 2,919.78 and 1,184.28

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Solution

The fourth proportional to 2,115.78, 2,919.78 and 1,184.28 is: 1,634.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,115.78 : 2,919.78 = 1,184.28 : x
  2. Step 2: Convert to fraction form
    2,115.78/2,919.78 = 1,184.28/x
  3. Step 3: Cross multiply
    2,115.78x = 2,919.78 × 1,184.28
  4. Step 4: Simplify right side
    2,115.78x = 3,457,837.06
  5. Step 5: Solve for x
    x = 3,457,837.06/2,115.78
  6. Step 6: Final answer
    x = 1,634.31

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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.