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Finding the Fourth Proportional to 12,007.68, 16,576 and 7,040

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Solution

The fourth proportional to 12,007.68, 16,576 and 7,040 is: 9,718.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,007.68 : 16,576 = 7,040 : x
  2. Step 2: Convert to fraction form
    12,007.68/16,576 = 7,040/x
  3. Step 3: Cross multiply
    12,007.68x = 16,576 × 7,040
  4. Step 4: Simplify right side
    12,007.68x = 116,695,040
  5. Step 5: Solve for x
    x = 116,695,040/12,007.68
  6. Step 6: Final answer
    x = 9,718.37

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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.