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Finding the Fourth Proportional to 1,393.08, 2,080.32 and 1,312.08

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Solution

The fourth proportional to 1,393.08, 2,080.32 and 1,312.08 is: 1,959.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,393.08 : 2,080.32 = 1,312.08 : x
  2. Step 2: Convert to fraction form
    1,393.08/2,080.32 = 1,312.08/x
  3. Step 3: Cross multiply
    1,393.08x = 2,080.32 × 1,312.08
  4. Step 4: Simplify right side
    1,393.08x = 2,729,546.27
  5. Step 5: Solve for x
    x = 2,729,546.27/1,393.08
  6. Step 6: Final answer
    x = 1,959.36

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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.