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Finding the Fourth Proportional to 10,383, 15,580.98 and 4,227

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Solution

The fourth proportional to 10,383, 15,580.98 and 4,227 is: 6,343.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,383 : 15,580.98 = 4,227 : x
  2. Step 2: Convert to fraction form
    10,383/15,580.98 = 4,227/x
  3. Step 3: Cross multiply
    10,383x = 15,580.98 × 4,227
  4. Step 4: Simplify right side
    10,383x = 65,860,802.46
  5. Step 5: Solve for x
    x = 65,860,802.46/10,383
  6. Step 6: Final answer
    x = 6,343.14

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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.