Home / 27,697.24-41,553-7,977.34

Finding the Fourth Proportional to 27,697.24, 41,553 and 7,977.34

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Solution

The fourth proportional to 27,697.24, 41,553 and 7,977.34 is: 11,968.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,697.24 : 41,553 = 7,977.34 : x
  2. Step 2: Convert to fraction form
    27,697.24/41,553 = 7,977.34/x
  3. Step 3: Cross multiply
    27,697.24x = 41,553 × 7,977.34
  4. Step 4: Simplify right side
    27,697.24x = 331,482,227.23
  5. Step 5: Solve for x
    x = 331,482,227.23/27,697.24
  6. Step 6: Final answer
    x = 11,968.06

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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.