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Finding the Fourth Proportional to 11,285.58, 15,572.75 and 6,978

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Solution

The fourth proportional to 11,285.58, 15,572.75 and 6,978 is: 9,628.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,285.58 : 15,572.75 = 6,978 : x
  2. Step 2: Convert to fraction form
    11,285.58/15,572.75 = 6,978/x
  3. Step 3: Cross multiply
    11,285.58x = 15,572.75 × 6,978
  4. Step 4: Simplify right side
    11,285.58x = 108,666,649.50
  5. Step 5: Solve for x
    x = 108,666,649.50/11,285.58
  6. Step 6: Final answer
    x = 9,628.81

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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.