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Finding the Fourth Proportional to 12,649.56, 17,455.62 and 6,984.30

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Solution

The fourth proportional to 12,649.56, 17,455.62 and 6,984.30 is: 9,637.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,649.56 : 17,455.62 = 6,984.30 : x
  2. Step 2: Convert to fraction form
    12,649.56/17,455.62 = 6,984.30/x
  3. Step 3: Cross multiply
    12,649.56x = 17,455.62 × 6,984.30
  4. Step 4: Simplify right side
    12,649.56x = 121,915,286.77
  5. Step 5: Solve for x
    x = 121,915,286.77/12,649.56
  6. Step 6: Final answer
    x = 9,637.91

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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.