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Finding the Fourth Proportional to 5,894.95, 8,841.42 and 1,945

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Solution

The fourth proportional to 5,894.95, 8,841.42 and 1,945 is: 2,917.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,894.95 : 8,841.42 = 1,945 : x
  2. Step 2: Convert to fraction form
    5,894.95/8,841.42 = 1,945/x
  3. Step 3: Cross multiply
    5,894.95x = 8,841.42 × 1,945
  4. Step 4: Simplify right side
    5,894.95x = 17,196,561.90
  5. Step 5: Solve for x
    x = 17,196,561.90/5,894.95
  6. Step 6: Final answer
    x = 2,917.17

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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.