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Finding the Fourth Proportional to 14,578.56, 21,887.84 and 7,564.32

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Solution

The fourth proportional to 14,578.56, 21,887.84 and 7,564.32 is: 11,356.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,578.56 : 21,887.84 = 7,564.32 : x
  2. Step 2: Convert to fraction form
    14,578.56/21,887.84 = 7,564.32/x
  3. Step 3: Cross multiply
    14,578.56x = 21,887.84 × 7,564.32
  4. Step 4: Simplify right side
    14,578.56x = 165,566,625.87
  5. Step 5: Solve for x
    x = 165,566,625.87/14,578.56
  6. Step 6: Final answer
    x = 11,356.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.