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Finding the Fourth Proportional to 5,580, 7,700.40 and 3,096

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Solution

The fourth proportional to 5,580, 7,700.40 and 3,096 is: 4,272.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,580 : 7,700.40 = 3,096 : x
  2. Step 2: Convert to fraction form
    5,580/7,700.40 = 3,096/x
  3. Step 3: Cross multiply
    5,580x = 7,700.40 × 3,096
  4. Step 4: Simplify right side
    5,580x = 23,840,438.40
  5. Step 5: Solve for x
    x = 23,840,438.40/5,580
  6. Step 6: Final answer
    x = 4,272.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.