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Finding the Fourth Proportional to 11,302, 16,953.20 and 4,285.28

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Solution

The fourth proportional to 11,302, 16,953.20 and 4,285.28 is: 6,428.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,302 : 16,953.20 = 4,285.28 : x
  2. Step 2: Convert to fraction form
    11,302/16,953.20 = 4,285.28/x
  3. Step 3: Cross multiply
    11,302x = 16,953.20 × 4,285.28
  4. Step 4: Simplify right side
    11,302x = 72,649,208.90
  5. Step 5: Solve for x
    x = 72,649,208.90/11,302
  6. Step 6: Final answer
    x = 6,428.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.