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Finding the Fourth Proportional to 1,427.06, 1,968.90 and 986.06

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Solution

The fourth proportional to 1,427.06, 1,968.90 and 986.06 is: 1,360.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427.06 : 1,968.90 = 986.06 : x
  2. Step 2: Convert to fraction form
    1,427.06/1,968.90 = 986.06/x
  3. Step 3: Cross multiply
    1,427.06x = 1,968.90 × 986.06
  4. Step 4: Simplify right side
    1,427.06x = 1,941,453.53
  5. Step 5: Solve for x
    x = 1,941,453.53/1,427.06
  6. Step 6: Final answer
    x = 1,360.46

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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.