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Finding the Fourth Proportional to 1,686.93, 2,526.39 and 1,443.63

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Solution

The fourth proportional to 1,686.93, 2,526.39 and 1,443.63 is: 2,162.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,686.93 : 2,526.39 = 1,443.63 : x
  2. Step 2: Convert to fraction form
    1,686.93/2,526.39 = 1,443.63/x
  3. Step 3: Cross multiply
    1,686.93x = 2,526.39 × 1,443.63
  4. Step 4: Simplify right side
    1,686.93x = 3,647,172.40
  5. Step 5: Solve for x
    x = 3,647,172.40/1,686.93
  6. Step 6: Final answer
    x = 2,162.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.