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Finding the Fourth Proportional to 1,362.60, 1,880.75 and 1,141.20

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Solution

The fourth proportional to 1,362.60, 1,880.75 and 1,141.20 is: 1,575.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,362.60 : 1,880.75 = 1,141.20 : x
  2. Step 2: Convert to fraction form
    1,362.60/1,880.75 = 1,141.20/x
  3. Step 3: Cross multiply
    1,362.60x = 1,880.75 × 1,141.20
  4. Step 4: Simplify right side
    1,362.60x = 2,146,311.90
  5. Step 5: Solve for x
    x = 2,146,311.90/1,362.60
  6. Step 6: Final answer
    x = 1,575.16

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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.