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Finding the Fourth Proportional to 1,426.05, 1,968.02 and 1,076.13

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Solution

The fourth proportional to 1,426.05, 1,968.02 and 1,076.13 is: 1,485.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426.05 : 1,968.02 = 1,076.13 : x
  2. Step 2: Convert to fraction form
    1,426.05/1,968.02 = 1,076.13/x
  3. Step 3: Cross multiply
    1,426.05x = 1,968.02 × 1,076.13
  4. Step 4: Simplify right side
    1,426.05x = 2,117,845.36
  5. Step 5: Solve for x
    x = 2,117,845.36/1,426.05
  6. Step 6: Final answer
    x = 1,485.11

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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.