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Finding the Fourth Proportional to 15,912, 21,958.56 and 9,629.28

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Solution

The fourth proportional to 15,912, 21,958.56 and 9,629.28 is: 13,288.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,912 : 21,958.56 = 9,629.28 : x
  2. Step 2: Convert to fraction form
    15,912/21,958.56 = 9,629.28/x
  3. Step 3: Cross multiply
    15,912x = 21,958.56 × 9,629.28
  4. Step 4: Simplify right side
    15,912x = 211,445,122.64
  5. Step 5: Solve for x
    x = 211,445,122.64/15,912
  6. Step 6: Final answer
    x = 13,288.41

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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.