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Finding the Fourth Proportional to 1,312.54, 1,958.18 and 1,181.32

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Solution

The fourth proportional to 1,312.54, 1,958.18 and 1,181.32 is: 1,762.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.54 : 1,958.18 = 1,181.32 : x
  2. Step 2: Convert to fraction form
    1,312.54/1,958.18 = 1,181.32/x
  3. Step 3: Cross multiply
    1,312.54x = 1,958.18 × 1,181.32
  4. Step 4: Simplify right side
    1,312.54x = 2,313,237.20
  5. Step 5: Solve for x
    x = 2,313,237.20/1,312.54
  6. Step 6: Final answer
    x = 1,762.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.