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Finding the Fourth Proportional to 11,357.10, 15,672.82 and 6,389.10

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Solution

The fourth proportional to 11,357.10, 15,672.82 and 6,389.10 is: 8,816.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,357.10 : 15,672.82 = 6,389.10 : x
  2. Step 2: Convert to fraction form
    11,357.10/15,672.82 = 6,389.10/x
  3. Step 3: Cross multiply
    11,357.10x = 15,672.82 × 6,389.10
  4. Step 4: Simplify right side
    11,357.10x = 100,135,214.26
  5. Step 5: Solve for x
    x = 100,135,214.26/11,357.10
  6. Step 6: Final answer
    x = 8,816.97

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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.