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Finding the Fourth Proportional to 21,455, 29,606.68 and 12,503.96

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Solution

The fourth proportional to 21,455, 29,606.68 and 12,503.96 is: 17,254.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,455 : 29,606.68 = 12,503.96 : x
  2. Step 2: Convert to fraction form
    21,455/29,606.68 = 12,503.96/x
  3. Step 3: Cross multiply
    21,455x = 29,606.68 × 12,503.96
  4. Step 4: Simplify right side
    21,455x = 370,200,742.45
  5. Step 5: Solve for x
    x = 370,200,742.45/21,455
  6. Step 6: Final answer
    x = 17,254.75

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Why These Related Problems?

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