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Finding the Fourth Proportional to 39,000, 53,820 and 21,336

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Solution

The fourth proportional to 39,000, 53,820 and 21,336 is: 29,443.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,000 : 53,820 = 21,336 : x
  2. Step 2: Convert to fraction form
    39,000/53,820 = 21,336/x
  3. Step 3: Cross multiply
    39,000x = 53,820 × 21,336
  4. Step 4: Simplify right side
    39,000x = 1,148,303,520
  5. Step 5: Solve for x
    x = 1,148,303,520/39,000
  6. Step 6: Final answer
    x = 29,443.68

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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.