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Finding the Fourth Proportional to 12,649.51, 18,970.27 and 3,762.66

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Solution

The fourth proportional to 12,649.51, 18,970.27 and 3,762.66 is: 5,642.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,649.51 : 18,970.27 = 3,762.66 : x
  2. Step 2: Convert to fraction form
    12,649.51/18,970.27 = 3,762.66/x
  3. Step 3: Cross multiply
    12,649.51x = 18,970.27 × 3,762.66
  4. Step 4: Simplify right side
    12,649.51x = 71,378,676.12
  5. Step 5: Solve for x
    x = 71,378,676.12/12,649.51
  6. Step 6: Final answer
    x = 5,642.80

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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.