Home / 11,824.80-16,315.28-7,628

Finding the Fourth Proportional to 11,824.80, 16,315.28 and 7,628

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Solution

The fourth proportional to 11,824.80, 16,315.28 and 7,628 is: 10,524.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,824.80 : 16,315.28 = 7,628 : x
  2. Step 2: Convert to fraction form
    11,824.80/16,315.28 = 7,628/x
  3. Step 3: Cross multiply
    11,824.80x = 16,315.28 × 7,628
  4. Step 4: Simplify right side
    11,824.80x = 124,452,955.84
  5. Step 5: Solve for x
    x = 124,452,955.84/11,824.80
  6. Step 6: Final answer
    x = 10,524.74

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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.