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Finding the Fourth Proportional to 5,980, 8,973.24 and 2,902

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Solution

The fourth proportional to 5,980, 8,973.24 and 2,902 is: 4,354.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,980 : 8,973.24 = 2,902 : x
  2. Step 2: Convert to fraction form
    5,980/8,973.24 = 2,902/x
  3. Step 3: Cross multiply
    5,980x = 8,973.24 × 2,902
  4. Step 4: Simplify right side
    5,980x = 26,040,342.48
  5. Step 5: Solve for x
    x = 26,040,342.48/5,980
  6. Step 6: Final answer
    x = 4,354.57

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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.