Home / 11,588.40-15,983.28-8,184

Finding the Fourth Proportional to 11,588.40, 15,983.28 and 8,184

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Solution

The fourth proportional to 11,588.40, 15,983.28 and 8,184 is: 11,287.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,588.40 : 15,983.28 = 8,184 : x
  2. Step 2: Convert to fraction form
    11,588.40/15,983.28 = 8,184/x
  3. Step 3: Cross multiply
    11,588.40x = 15,983.28 × 8,184
  4. Step 4: Simplify right side
    11,588.40x = 130,807,163.52
  5. Step 5: Solve for x
    x = 130,807,163.52/11,588.40
  6. Step 6: Final answer
    x = 11,287.77

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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.