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Finding the Fourth Proportional to 1,511.56, 2,086.02 and 988.60

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Solution

The fourth proportional to 1,511.56, 2,086.02 and 988.60 is: 1,364.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,511.56 : 2,086.02 = 988.60 : x
  2. Step 2: Convert to fraction form
    1,511.56/2,086.02 = 988.60/x
  3. Step 3: Cross multiply
    1,511.56x = 2,086.02 × 988.60
  4. Step 4: Simplify right side
    1,511.56x = 2,062,239.37
  5. Step 5: Solve for x
    x = 2,062,239.37/1,511.56
  6. Step 6: Final answer
    x = 1,364.31

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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.