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Finding the Fourth Proportional to 10,802, 16,203 and 3,506

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Solution

The fourth proportional to 10,802, 16,203 and 3,506 is: 5,259

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,802 : 16,203 = 3,506 : x
  2. Step 2: Convert to fraction form
    10,802/16,203 = 3,506/x
  3. Step 3: Cross multiply
    10,802x = 16,203 × 3,506
  4. Step 4: Simplify right side
    10,802x = 56,807,718
  5. Step 5: Solve for x
    x = 56,807,718/10,802
  6. Step 6: Final answer
    x = 5,259

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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.