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Finding the Fourth Proportional to 21,830.84, 32,748.36 and 8,680.28

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Solution

The fourth proportional to 21,830.84, 32,748.36 and 8,680.28 is: 13,021.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,830.84 : 32,748.36 = 8,680.28 : x
  2. Step 2: Convert to fraction form
    21,830.84/32,748.36 = 8,680.28/x
  3. Step 3: Cross multiply
    21,830.84x = 32,748.36 × 8,680.28
  4. Step 4: Simplify right side
    21,830.84x = 284,264,934.34
  5. Step 5: Solve for x
    x = 284,264,934.34/21,830.84
  6. Step 6: Final answer
    x = 13,021.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.