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Finding the Fourth Proportional to 5,780.88, 7,969.32 and 4,122

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Solution

The fourth proportional to 5,780.88, 7,969.32 and 4,122 is: 5,682.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,780.88 : 7,969.32 = 4,122 : x
  2. Step 2: Convert to fraction form
    5,780.88/7,969.32 = 4,122/x
  3. Step 3: Cross multiply
    5,780.88x = 7,969.32 × 4,122
  4. Step 4: Simplify right side
    5,780.88x = 32,849,537.04
  5. Step 5: Solve for x
    x = 32,849,537.04/5,780.88
  6. Step 6: Final answer
    x = 5,682.45

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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.