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Finding the Fourth Proportional to 1,968.30, 2,951.64 and 1,887.30

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Solution

The fourth proportional to 1,968.30, 2,951.64 and 1,887.30 is: 2,830.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,968.30 : 2,951.64 = 1,887.30 : x
  2. Step 2: Convert to fraction form
    1,968.30/2,951.64 = 1,887.30/x
  3. Step 3: Cross multiply
    1,968.30x = 2,951.64 × 1,887.30
  4. Step 4: Simplify right side
    1,968.30x = 5,570,630.17
  5. Step 5: Solve for x
    x = 5,570,630.17/1,968.30
  6. Step 6: Final answer
    x = 2,830.17

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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.