Home / 5,155-7,732.50-1,692.25

Finding the Fourth Proportional to 5,155, 7,732.50 and 1,692.25

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Solution

The fourth proportional to 5,155, 7,732.50 and 1,692.25 is: 2,538.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,155 : 7,732.50 = 1,692.25 : x
  2. Step 2: Convert to fraction form
    5,155/7,732.50 = 1,692.25/x
  3. Step 3: Cross multiply
    5,155x = 7,732.50 × 1,692.25
  4. Step 4: Simplify right side
    5,155x = 13,085,323.13
  5. Step 5: Solve for x
    x = 13,085,323.13/5,155
  6. Step 6: Final answer
    x = 2,538.38

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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.