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Finding the Fourth Proportional to 1,351, 1,861.86 and 902.05

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Solution

The fourth proportional to 1,351, 1,861.86 and 902.05 is: 1,243.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,351 : 1,861.86 = 902.05 : x
  2. Step 2: Convert to fraction form
    1,351/1,861.86 = 902.05/x
  3. Step 3: Cross multiply
    1,351x = 1,861.86 × 902.05
  4. Step 4: Simplify right side
    1,351x = 1,679,490.81
  5. Step 5: Solve for x
    x = 1,679,490.81/1,351
  6. Step 6: Final answer
    x = 1,243.15

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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.