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Finding the Fourth Proportional to 1,884.88, 2,828.54 and 790.17

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Solution

The fourth proportional to 1,884.88, 2,828.54 and 790.17 is: 1,185.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,884.88 : 2,828.54 = 790.17 : x
  2. Step 2: Convert to fraction form
    1,884.88/2,828.54 = 790.17/x
  3. Step 3: Cross multiply
    1,884.88x = 2,828.54 × 790.17
  4. Step 4: Simplify right side
    1,884.88x = 2,235,027.45
  5. Step 5: Solve for x
    x = 2,235,027.45/1,884.88
  6. Step 6: Final answer
    x = 1,185.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.