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Finding the Fourth Proportional to 1,430.67, 1,974.41 and 871.05

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Solution

The fourth proportional to 1,430.67, 1,974.41 and 871.05 is: 1,202.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430.67 : 1,974.41 = 871.05 : x
  2. Step 2: Convert to fraction form
    1,430.67/1,974.41 = 871.05/x
  3. Step 3: Cross multiply
    1,430.67x = 1,974.41 × 871.05
  4. Step 4: Simplify right side
    1,430.67x = 1,719,805.48
  5. Step 5: Solve for x
    x = 1,719,805.48/1,430.67
  6. Step 6: Final answer
    x = 1,202.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.