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Finding the Fourth Proportional to 1,887.60, 2,604.93 and 1,141.41

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Solution

The fourth proportional to 1,887.60, 2,604.93 and 1,141.41 is: 1,575.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,887.60 : 2,604.93 = 1,141.41 : x
  2. Step 2: Convert to fraction form
    1,887.60/2,604.93 = 1,141.41/x
  3. Step 3: Cross multiply
    1,887.60x = 2,604.93 × 1,141.41
  4. Step 4: Simplify right side
    1,887.60x = 2,973,293.15
  5. Step 5: Solve for x
    x = 2,973,293.15/1,887.60
  6. Step 6: Final answer
    x = 1,575.17

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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.