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Finding the Fourth Proportional to 21,103.20, 31,664.64 and 9,415.20

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Solution

The fourth proportional to 21,103.20, 31,664.64 and 9,415.20 is: 14,127.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,103.20 : 31,664.64 = 9,415.20 : x
  2. Step 2: Convert to fraction form
    21,103.20/31,664.64 = 9,415.20/x
  3. Step 3: Cross multiply
    21,103.20x = 31,664.64 × 9,415.20
  4. Step 4: Simplify right side
    21,103.20x = 298,128,918.53
  5. Step 5: Solve for x
    x = 298,128,918.53/21,103.20
  6. Step 6: Final answer
    x = 14,127.19

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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.