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Finding the Fourth Proportional to 1,341.08, 1,848.87 and 942.03

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Solution

The fourth proportional to 1,341.08, 1,848.87 and 942.03 is: 1,298.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,341.08 : 1,848.87 = 942.03 : x
  2. Step 2: Convert to fraction form
    1,341.08/1,848.87 = 942.03/x
  3. Step 3: Cross multiply
    1,341.08x = 1,848.87 × 942.03
  4. Step 4: Simplify right side
    1,341.08x = 1,741,696.19
  5. Step 5: Solve for x
    x = 1,741,696.19/1,341.08
  6. Step 6: Final answer
    x = 1,298.73

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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.