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Finding the Fourth Proportional to 43,243.34, 64,859.64 and 11,655.87

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Solution

The fourth proportional to 43,243.34, 64,859.64 and 11,655.87 is: 17,482.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,243.34 : 64,859.64 = 11,655.87 : x
  2. Step 2: Convert to fraction form
    43,243.34/64,859.64 = 11,655.87/x
  3. Step 3: Cross multiply
    43,243.34x = 64,859.64 × 11,655.87
  4. Step 4: Simplify right side
    43,243.34x = 755,995,532.09
  5. Step 5: Solve for x
    x = 755,995,532.09/43,243.34
  6. Step 6: Final answer
    x = 17,482.36

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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.