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Finding the Fourth Proportional to 23,562.78, 35,349.03 and 7,980

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Solution

The fourth proportional to 23,562.78, 35,349.03 and 7,980 is: 11,971.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,562.78 : 35,349.03 = 7,980 : x
  2. Step 2: Convert to fraction form
    23,562.78/35,349.03 = 7,980/x
  3. Step 3: Cross multiply
    23,562.78x = 35,349.03 × 7,980
  4. Step 4: Simplify right side
    23,562.78x = 282,085,259.40
  5. Step 5: Solve for x
    x = 282,085,259.40/23,562.78
  6. Step 6: Final answer
    x = 11,971.65

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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.