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Finding the Fourth Proportional to 12,649.26, 17,455.88 and 6,984.01

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Solution

The fourth proportional to 12,649.26, 17,455.88 and 6,984.01 is: 9,637.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,649.26 : 17,455.88 = 6,984.01 : x
  2. Step 2: Convert to fraction form
    12,649.26/17,455.88 = 6,984.01/x
  3. Step 3: Cross multiply
    12,649.26x = 17,455.88 × 6,984.01
  4. Step 4: Simplify right side
    12,649.26x = 121,912,040.48
  5. Step 5: Solve for x
    x = 121,912,040.48/12,649.26
  6. Step 6: Final answer
    x = 9,637.88

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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.