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Finding the Fourth Proportional to 21,498, 29,670.48 and 13,119.36

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Solution

The fourth proportional to 21,498, 29,670.48 and 13,119.36 is: 18,106.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,498 : 29,670.48 = 13,119.36 : x
  2. Step 2: Convert to fraction form
    21,498/29,670.48 = 13,119.36/x
  3. Step 3: Cross multiply
    21,498x = 29,670.48 × 13,119.36
  4. Step 4: Simplify right side
    21,498x = 389,257,708.49
  5. Step 5: Solve for x
    x = 389,257,708.49/21,498
  6. Step 6: Final answer
    x = 18,106.69

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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.