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Finding the Fourth Proportional to 21,788.50, 30,068.14 and 11,852.50

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Solution

The fourth proportional to 21,788.50, 30,068.14 and 11,852.50 is: 16,356.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,788.50 : 30,068.14 = 11,852.50 : x
  2. Step 2: Convert to fraction form
    21,788.50/30,068.14 = 11,852.50/x
  3. Step 3: Cross multiply
    21,788.50x = 30,068.14 × 11,852.50
  4. Step 4: Simplify right side
    21,788.50x = 356,382,629.35
  5. Step 5: Solve for x
    x = 356,382,629.35/21,788.50
  6. Step 6: Final answer
    x = 16,356.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.