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Finding the Fourth Proportional to 12,646.65, 17,438.70 and 8,616.09

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Solution

The fourth proportional to 12,646.65, 17,438.70 and 8,616.09 is: 11,880.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,646.65 : 17,438.70 = 8,616.09 : x
  2. Step 2: Convert to fraction form
    12,646.65/17,438.70 = 8,616.09/x
  3. Step 3: Cross multiply
    12,646.65x = 17,438.70 × 8,616.09
  4. Step 4: Simplify right side
    12,646.65x = 150,253,506.39
  5. Step 5: Solve for x
    x = 150,253,506.39/12,646.65
  6. Step 6: Final answer
    x = 11,880.89

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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.