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Finding the Fourth Proportional to 15,405.82, 21,255 and 9,431.26

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Solution

The fourth proportional to 15,405.82, 21,255 and 9,431.26 is: 13,012.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,405.82 : 21,255 = 9,431.26 : x
  2. Step 2: Convert to fraction form
    15,405.82/21,255 = 9,431.26/x
  3. Step 3: Cross multiply
    15,405.82x = 21,255 × 9,431.26
  4. Step 4: Simplify right side
    15,405.82x = 200,461,431.30
  5. Step 5: Solve for x
    x = 200,461,431.30/15,405.82
  6. Step 6: Final answer
    x = 13,012.06

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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.