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Finding the Fourth Proportional to 1,745.95, 2,620.63 and 1,301.71

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Solution

The fourth proportional to 1,745.95, 2,620.63 and 1,301.71 is: 1,953.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,745.95 : 2,620.63 = 1,301.71 : x
  2. Step 2: Convert to fraction form
    1,745.95/2,620.63 = 1,301.71/x
  3. Step 3: Cross multiply
    1,745.95x = 2,620.63 × 1,301.71
  4. Step 4: Simplify right side
    1,745.95x = 3,411,293.77
  5. Step 5: Solve for x
    x = 3,411,293.77/1,745.95
  6. Step 6: Final answer
    x = 1,953.84

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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.