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Finding the Fourth Proportional to 21,053.42, 29,046.25 and 13,503.81

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Solution

The fourth proportional to 21,053.42, 29,046.25 and 13,503.81 is: 18,630.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,053.42 : 29,046.25 = 13,503.81 : x
  2. Step 2: Convert to fraction form
    21,053.42/29,046.25 = 13,503.81/x
  3. Step 3: Cross multiply
    21,053.42x = 29,046.25 × 13,503.81
  4. Step 4: Simplify right side
    21,053.42x = 392,235,091.06
  5. Step 5: Solve for x
    x = 392,235,091.06/21,053.42
  6. Step 6: Final answer
    x = 18,630.47

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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.