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Finding the Fourth Proportional to 2,130.67, 3,196.80 and 960.32

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Solution

The fourth proportional to 2,130.67, 3,196.80 and 960.32 is: 1,440.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,130.67 : 3,196.80 = 960.32 : x
  2. Step 2: Convert to fraction form
    2,130.67/3,196.80 = 960.32/x
  3. Step 3: Cross multiply
    2,130.67x = 3,196.80 × 960.32
  4. Step 4: Simplify right side
    2,130.67x = 3,069,950.98
  5. Step 5: Solve for x
    x = 3,069,950.98/2,130.67
  6. Step 6: Final answer
    x = 1,440.84

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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.