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Finding the Fourth Proportional to 2,139.49, 3,209.45 and 840.66

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Solution

The fourth proportional to 2,139.49, 3,209.45 and 840.66 is: 1,261.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,139.49 : 3,209.45 = 840.66 : x
  2. Step 2: Convert to fraction form
    2,139.49/3,209.45 = 840.66/x
  3. Step 3: Cross multiply
    2,139.49x = 3,209.45 × 840.66
  4. Step 4: Simplify right side
    2,139.49x = 2,698,040.00
  5. Step 5: Solve for x
    x = 2,698,040.00/2,139.49
  6. Step 6: Final answer
    x = 1,261.07

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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.