Home / 7,132-10,692.21-2,975.12

Finding the Fourth Proportional to 7,132, 10,692.21 and 2,975.12

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Solution

The fourth proportional to 7,132, 10,692.21 and 2,975.12 is: 4,460.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,132 : 10,692.21 = 2,975.12 : x
  2. Step 2: Convert to fraction form
    7,132/10,692.21 = 2,975.12/x
  3. Step 3: Cross multiply
    7,132x = 10,692.21 × 2,975.12
  4. Step 4: Simplify right side
    7,132x = 31,810,607.82
  5. Step 5: Solve for x
    x = 31,810,607.82/7,132
  6. Step 6: Final answer
    x = 4,460.26

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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.