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Finding the Fourth Proportional to 21,455.29, 32,177.81 and 7,415.81

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Solution

The fourth proportional to 21,455.29, 32,177.81 and 7,415.81 is: 11,121.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,455.29 : 32,177.81 = 7,415.81 : x
  2. Step 2: Convert to fraction form
    21,455.29/32,177.81 = 7,415.81/x
  3. Step 3: Cross multiply
    21,455.29x = 32,177.81 × 7,415.81
  4. Step 4: Simplify right side
    21,455.29x = 238,624,525.18
  5. Step 5: Solve for x
    x = 238,624,525.18/21,455.29
  6. Step 6: Final answer
    x = 11,121.94

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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.