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Finding the Fourth Proportional to 1,313.25, 1,811.04 and 942.06

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Solution

The fourth proportional to 1,313.25, 1,811.04 and 942.06 is: 1,299.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313.25 : 1,811.04 = 942.06 : x
  2. Step 2: Convert to fraction form
    1,313.25/1,811.04 = 942.06/x
  3. Step 3: Cross multiply
    1,313.25x = 1,811.04 × 942.06
  4. Step 4: Simplify right side
    1,313.25x = 1,706,108.34
  5. Step 5: Solve for x
    x = 1,706,108.34/1,313.25
  6. Step 6: Final answer
    x = 1,299.15

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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.