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Finding the Fourth Proportional to 43,133.76, 64,700.62 and 11,969

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Solution

The fourth proportional to 43,133.76, 64,700.62 and 11,969 is: 17,953.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,133.76 : 64,700.62 = 11,969 : x
  2. Step 2: Convert to fraction form
    43,133.76/64,700.62 = 11,969/x
  3. Step 3: Cross multiply
    43,133.76x = 64,700.62 × 11,969
  4. Step 4: Simplify right side
    43,133.76x = 774,401,720.78
  5. Step 5: Solve for x
    x = 774,401,720.78/43,133.76
  6. Step 6: Final answer
    x = 17,953.49

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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.