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Finding the Fourth Proportional to 9,628.56, 13,274.12 and 9,418.97

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Solution

The fourth proportional to 9,628.56, 13,274.12 and 9,418.97 is: 12,985.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,628.56 : 13,274.12 = 9,418.97 : x
  2. Step 2: Convert to fraction form
    9,628.56/13,274.12 = 9,418.97/x
  3. Step 3: Cross multiply
    9,628.56x = 13,274.12 × 9,418.97
  4. Step 4: Simplify right side
    9,628.56x = 125,028,424.59
  5. Step 5: Solve for x
    x = 125,028,424.59/9,628.56
  6. Step 6: Final answer
    x = 12,985.16

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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.