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Finding the Fourth Proportional to 1,729.98, 2,386.98 and 1,670.70

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Solution

The fourth proportional to 1,729.98, 2,386.98 and 1,670.70 is: 2,305.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,729.98 : 2,386.98 = 1,670.70 : x
  2. Step 2: Convert to fraction form
    1,729.98/2,386.98 = 1,670.70/x
  3. Step 3: Cross multiply
    1,729.98x = 2,386.98 × 1,670.70
  4. Step 4: Simplify right side
    1,729.98x = 3,987,927.49
  5. Step 5: Solve for x
    x = 3,987,927.49/1,729.98
  6. Step 6: Final answer
    x = 2,305.19

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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.