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Finding the Fourth Proportional to 21,442.66, 32,174.94 and 10,210.68

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Solution

The fourth proportional to 21,442.66, 32,174.94 and 10,210.68 is: 15,321.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,442.66 : 32,174.94 = 10,210.68 : x
  2. Step 2: Convert to fraction form
    21,442.66/32,174.94 = 10,210.68/x
  3. Step 3: Cross multiply
    21,442.66x = 32,174.94 × 10,210.68
  4. Step 4: Simplify right side
    21,442.66x = 328,528,016.36
  5. Step 5: Solve for x
    x = 328,528,016.36/21,442.66
  6. Step 6: Final answer
    x = 15,321.23

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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.