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Finding the Fourth Proportional to 1,395.84, 2,080.32 and 1,393.68

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Solution

The fourth proportional to 1,395.84, 2,080.32 and 1,393.68 is: 2,077.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,395.84 : 2,080.32 = 1,393.68 : x
  2. Step 2: Convert to fraction form
    1,395.84/2,080.32 = 1,393.68/x
  3. Step 3: Cross multiply
    1,395.84x = 2,080.32 × 1,393.68
  4. Step 4: Simplify right side
    1,395.84x = 2,899,300.38
  5. Step 5: Solve for x
    x = 2,899,300.38/1,395.84
  6. Step 6: Final answer
    x = 2,077.10

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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.