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Finding the Fourth Proportional to 7,888.49, 11,837.25 and 3,207.63

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Solution

The fourth proportional to 7,888.49, 11,837.25 and 3,207.63 is: 4,813.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,888.49 : 11,837.25 = 3,207.63 : x
  2. Step 2: Convert to fraction form
    7,888.49/11,837.25 = 3,207.63/x
  3. Step 3: Cross multiply
    7,888.49x = 11,837.25 × 3,207.63
  4. Step 4: Simplify right side
    7,888.49x = 37,969,518.22
  5. Step 5: Solve for x
    x = 37,969,518.22/7,888.49
  6. Step 6: Final answer
    x = 4,813.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.