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Finding the Fourth Proportional to 28,564.60, 42,842.04 and 7,783.24

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Solution

The fourth proportional to 28,564.60, 42,842.04 and 7,783.24 is: 11,673.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,564.60 : 42,842.04 = 7,783.24 : x
  2. Step 2: Convert to fraction form
    28,564.60/42,842.04 = 7,783.24/x
  3. Step 3: Cross multiply
    28,564.60x = 42,842.04 × 7,783.24
  4. Step 4: Simplify right side
    28,564.60x = 333,449,879.41
  5. Step 5: Solve for x
    x = 333,449,879.41/28,564.60
  6. Step 6: Final answer
    x = 11,673.54

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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.