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Finding the Fourth Proportional to 12,634, 17,434.70 and 6,969.30

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Solution

The fourth proportional to 12,634, 17,434.70 and 6,969.30 is: 9,617.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,634 : 17,434.70 = 6,969.30 : x
  2. Step 2: Convert to fraction form
    12,634/17,434.70 = 6,969.30/x
  3. Step 3: Cross multiply
    12,634x = 17,434.70 × 6,969.30
  4. Step 4: Simplify right side
    12,634x = 121,507,654.71
  5. Step 5: Solve for x
    x = 121,507,654.71/12,634
  6. Step 6: Final answer
    x = 9,617.51

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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.