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Finding the Fourth Proportional to 12,661.69, 17,473.80 and 7,627.49

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Solution

The fourth proportional to 12,661.69, 17,473.80 and 7,627.49 is: 10,526.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,661.69 : 17,473.80 = 7,627.49 : x
  2. Step 2: Convert to fraction form
    12,661.69/17,473.80 = 7,627.49/x
  3. Step 3: Cross multiply
    12,661.69x = 17,473.80 × 7,627.49
  4. Step 4: Simplify right side
    12,661.69x = 133,281,234.76
  5. Step 5: Solve for x
    x = 133,281,234.76/12,661.69
  6. Step 6: Final answer
    x = 10,526.34

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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.