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Finding the Fourth Proportional to 1,894.34, 2,840.70 and 661.38

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Solution

The fourth proportional to 1,894.34, 2,840.70 and 661.38 is: 991.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,894.34 : 2,840.70 = 661.38 : x
  2. Step 2: Convert to fraction form
    1,894.34/2,840.70 = 661.38/x
  3. Step 3: Cross multiply
    1,894.34x = 2,840.70 × 661.38
  4. Step 4: Simplify right side
    1,894.34x = 1,878,782.17
  5. Step 5: Solve for x
    x = 1,878,782.17/1,894.34
  6. Step 6: Final answer
    x = 991.79

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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.