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Finding the Fourth Proportional to 11,029.88, 15,216.16 and 7,049

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Solution

The fourth proportional to 11,029.88, 15,216.16 and 7,049 is: 9,724.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,029.88 : 15,216.16 = 7,049 : x
  2. Step 2: Convert to fraction form
    11,029.88/15,216.16 = 7,049/x
  3. Step 3: Cross multiply
    11,029.88x = 15,216.16 × 7,049
  4. Step 4: Simplify right side
    11,029.88x = 107,258,711.84
  5. Step 5: Solve for x
    x = 107,258,711.84/11,029.88
  6. Step 6: Final answer
    x = 9,724.38

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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.