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Finding the Fourth Proportional to 12,665, 17,477.70 and 8,483.24

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Solution

The fourth proportional to 12,665, 17,477.70 and 8,483.24 is: 11,706.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,665 : 17,477.70 = 8,483.24 : x
  2. Step 2: Convert to fraction form
    12,665/17,477.70 = 8,483.24/x
  3. Step 3: Cross multiply
    12,665x = 17,477.70 × 8,483.24
  4. Step 4: Simplify right side
    12,665x = 148,267,523.75
  5. Step 5: Solve for x
    x = 148,267,523.75/12,665
  6. Step 6: Final answer
    x = 11,706.87

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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.