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Finding the Fourth Proportional to 10,810, 16,215 and 2,602

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Solution

The fourth proportional to 10,810, 16,215 and 2,602 is: 3,903

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,810 : 16,215 = 2,602 : x
  2. Step 2: Convert to fraction form
    10,810/16,215 = 2,602/x
  3. Step 3: Cross multiply
    10,810x = 16,215 × 2,602
  4. Step 4: Simplify right side
    10,810x = 42,191,430
  5. Step 5: Solve for x
    x = 42,191,430/10,810
  6. Step 6: Final answer
    x = 3,903

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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.