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Finding the Fourth Proportional to 15,897.84, 21,938.36 and 8,823.82

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Solution

The fourth proportional to 15,897.84, 21,938.36 and 8,823.82 is: 12,176.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,897.84 : 21,938.36 = 8,823.82 : x
  2. Step 2: Convert to fraction form
    15,897.84/21,938.36 = 8,823.82/x
  3. Step 3: Cross multiply
    15,897.84x = 21,938.36 × 8,823.82
  4. Step 4: Simplify right side
    15,897.84x = 193,580,139.74
  5. Step 5: Solve for x
    x = 193,580,139.74/15,897.84
  6. Step 6: Final answer
    x = 12,176.51

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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.