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Finding the Fourth Proportional to 1,955.44, 2,697.68 and 1,158.64

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Solution

The fourth proportional to 1,955.44, 2,697.68 and 1,158.64 is: 1,598.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,955.44 : 2,697.68 = 1,158.64 : x
  2. Step 2: Convert to fraction form
    1,955.44/2,697.68 = 1,158.64/x
  3. Step 3: Cross multiply
    1,955.44x = 2,697.68 × 1,158.64
  4. Step 4: Simplify right side
    1,955.44x = 3,125,639.96
  5. Step 5: Solve for x
    x = 3,125,639.96/1,955.44
  6. Step 6: Final answer
    x = 1,598.43

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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.