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Finding the Fourth Proportional to 11,684.88, 17,437.88 and 10,438.29

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Solution

The fourth proportional to 11,684.88, 17,437.88 and 10,438.29 is: 15,577.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,684.88 : 17,437.88 = 10,438.29 : x
  2. Step 2: Convert to fraction form
    11,684.88/17,437.88 = 10,438.29/x
  3. Step 3: Cross multiply
    11,684.88x = 17,437.88 × 10,438.29
  4. Step 4: Simplify right side
    11,684.88x = 182,021,596.23
  5. Step 5: Solve for x
    x = 182,021,596.23/11,684.88
  6. Step 6: Final answer
    x = 15,577.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.