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Finding the Fourth Proportional to 15,821.84, 21,813.88 and 12,978.80

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Solution

The fourth proportional to 15,821.84, 21,813.88 and 12,978.80 is: 17,894.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,821.84 : 21,813.88 = 12,978.80 : x
  2. Step 2: Convert to fraction form
    15,821.84/21,813.88 = 12,978.80/x
  3. Step 3: Cross multiply
    15,821.84x = 21,813.88 × 12,978.80
  4. Step 4: Simplify right side
    15,821.84x = 283,117,985.74
  5. Step 5: Solve for x
    x = 283,117,985.74/15,821.84
  6. Step 6: Final answer
    x = 17,894.13

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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.