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Finding the Fourth Proportional to 21,804.76, 32,712 and 7,953.76

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Solution

The fourth proportional to 21,804.76, 32,712 and 7,953.76 is: 11,932.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,804.76 : 32,712 = 7,953.76 : x
  2. Step 2: Convert to fraction form
    21,804.76/32,712 = 7,953.76/x
  3. Step 3: Cross multiply
    21,804.76x = 32,712 × 7,953.76
  4. Step 4: Simplify right side
    21,804.76x = 260,183,397.12
  5. Step 5: Solve for x
    x = 260,183,397.12/21,804.76
  6. Step 6: Final answer
    x = 11,932.41

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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.