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Finding the Fourth Proportional to 12,629, 17,428.56 and 7,040

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Solution

The fourth proportional to 12,629, 17,428.56 and 7,040 is: 9,715.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,629 : 17,428.56 = 7,040 : x
  2. Step 2: Convert to fraction form
    12,629/17,428.56 = 7,040/x
  3. Step 3: Cross multiply
    12,629x = 17,428.56 × 7,040
  4. Step 4: Simplify right side
    12,629x = 122,697,062.40
  5. Step 5: Solve for x
    x = 122,697,062.40/12,629
  6. Step 6: Final answer
    x = 9,715.50

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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.