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Finding the Fourth Proportional to 10,606, 14,636.28 and 6,880

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Solution

The fourth proportional to 10,606, 14,636.28 and 6,880 is: 9,494.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,606 : 14,636.28 = 6,880 : x
  2. Step 2: Convert to fraction form
    10,606/14,636.28 = 6,880/x
  3. Step 3: Cross multiply
    10,606x = 14,636.28 × 6,880
  4. Step 4: Simplify right side
    10,606x = 100,697,606.40
  5. Step 5: Solve for x
    x = 100,697,606.40/10,606
  6. Step 6: Final answer
    x = 9,494.40

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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.