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Finding the Fourth Proportional to 13,649.83, 18,835.65 and 7,682.50

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Solution

The fourth proportional to 13,649.83, 18,835.65 and 7,682.50 is: 10,601.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,649.83 : 18,835.65 = 7,682.50 : x
  2. Step 2: Convert to fraction form
    13,649.83/18,835.65 = 7,682.50/x
  3. Step 3: Cross multiply
    13,649.83x = 18,835.65 × 7,682.50
  4. Step 4: Simplify right side
    13,649.83x = 144,704,881.13
  5. Step 5: Solve for x
    x = 144,704,881.13/13,649.83
  6. Step 6: Final answer
    x = 10,601.22

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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.