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Finding the Fourth Proportional to 11,360.84, 15,676.84 and 8,378.28

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Solution

The fourth proportional to 11,360.84, 15,676.84 and 8,378.28 is: 11,561.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,360.84 : 15,676.84 = 8,378.28 : x
  2. Step 2: Convert to fraction form
    11,360.84/15,676.84 = 8,378.28/x
  3. Step 3: Cross multiply
    11,360.84x = 15,676.84 × 8,378.28
  4. Step 4: Simplify right side
    11,360.84x = 131,344,955.04
  5. Step 5: Solve for x
    x = 131,344,955.04/11,360.84
  6. Step 6: Final answer
    x = 11,561.20

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1.5x scale

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.