Home / 12,016.80-16,584-7,301.28

Finding the Fourth Proportional to 12,016.80, 16,584 and 7,301.28

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Solution

The fourth proportional to 12,016.80, 16,584 and 7,301.28 is: 10,076.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,016.80 : 16,584 = 7,301.28 : x
  2. Step 2: Convert to fraction form
    12,016.80/16,584 = 7,301.28/x
  3. Step 3: Cross multiply
    12,016.80x = 16,584 × 7,301.28
  4. Step 4: Simplify right side
    12,016.80x = 121,084,427.52
  5. Step 5: Solve for x
    x = 121,084,427.52/12,016.80
  6. Step 6: Final answer
    x = 10,076.26

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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.