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Finding the Fourth Proportional to 21,630, 29,852.64 and 13,251.36

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Solution

The fourth proportional to 21,630, 29,852.64 and 13,251.36 is: 18,288.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,630 : 29,852.64 = 13,251.36 : x
  2. Step 2: Convert to fraction form
    21,630/29,852.64 = 13,251.36/x
  3. Step 3: Cross multiply
    21,630x = 29,852.64 × 13,251.36
  4. Step 4: Simplify right side
    21,630x = 395,588,079.59
  5. Step 5: Solve for x
    x = 395,588,079.59/21,630
  6. Step 6: Final answer
    x = 18,288.86

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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.