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Finding the Fourth Proportional to 8,645.09, 12,964.36 and 2,800.13

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Solution

The fourth proportional to 8,645.09, 12,964.36 and 2,800.13 is: 4,199.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,645.09 : 12,964.36 = 2,800.13 : x
  2. Step 2: Convert to fraction form
    8,645.09/12,964.36 = 2,800.13/x
  3. Step 3: Cross multiply
    8,645.09x = 12,964.36 × 2,800.13
  4. Step 4: Simplify right side
    8,645.09x = 36,301,893.37
  5. Step 5: Solve for x
    x = 36,301,893.37/8,645.09
  6. Step 6: Final answer
    x = 4,199.13

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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.