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Finding the Fourth Proportional to 10,278.84, 14,174.64 and 8,283

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Solution

The fourth proportional to 10,278.84, 14,174.64 and 8,283 is: 11,422.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,278.84 : 14,174.64 = 8,283 : x
  2. Step 2: Convert to fraction form
    10,278.84/14,174.64 = 8,283/x
  3. Step 3: Cross multiply
    10,278.84x = 14,174.64 × 8,283
  4. Step 4: Simplify right side
    10,278.84x = 117,408,543.12
  5. Step 5: Solve for x
    x = 117,408,543.12/10,278.84
  6. Step 6: Final answer
    x = 11,422.35

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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.