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Finding the Fourth Proportional to 11,359, 15,676.91 and 6,884.43

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Solution

The fourth proportional to 11,359, 15,676.91 and 6,884.43 is: 9,501.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,359 : 15,676.91 = 6,884.43 : x
  2. Step 2: Convert to fraction form
    11,359/15,676.91 = 6,884.43/x
  3. Step 3: Cross multiply
    11,359x = 15,676.91 × 6,884.43
  4. Step 4: Simplify right side
    11,359x = 107,926,589.51
  5. Step 5: Solve for x
    x = 107,926,589.51/11,359
  6. Step 6: Final answer
    x = 9,501.42

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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.