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Finding the Fourth Proportional to 10,512.29, 14,508 and 7,855.09

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Solution

The fourth proportional to 10,512.29, 14,508 and 7,855.09 is: 10,840.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,512.29 : 14,508 = 7,855.09 : x
  2. Step 2: Convert to fraction form
    10,512.29/14,508 = 7,855.09/x
  3. Step 3: Cross multiply
    10,512.29x = 14,508 × 7,855.09
  4. Step 4: Simplify right side
    10,512.29x = 113,961,645.72
  5. Step 5: Solve for x
    x = 113,961,645.72/10,512.29
  6. Step 6: Final answer
    x = 10,840.80

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1.5x scale

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.