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Finding the Fourth Proportional to 12,928, 17,840.64 and 7,040

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Solution

The fourth proportional to 12,928, 17,840.64 and 7,040 is: 9,715.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,928 : 17,840.64 = 7,040 : x
  2. Step 2: Convert to fraction form
    12,928/17,840.64 = 7,040/x
  3. Step 3: Cross multiply
    12,928x = 17,840.64 × 7,040
  4. Step 4: Simplify right side
    12,928x = 125,598,105.60
  5. Step 5: Solve for x
    x = 125,598,105.60/12,928
  6. Step 6: Final answer
    x = 9,715.20

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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.