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Finding the Fourth Proportional to 12,649.51, 17,455.87 and 6,984.13

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Solution

The fourth proportional to 12,649.51, 17,455.87 and 6,984.13 is: 9,637.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,649.51 : 17,455.87 = 6,984.13 : x
  2. Step 2: Convert to fraction form
    12,649.51/17,455.87 = 6,984.13/x
  3. Step 3: Cross multiply
    12,649.51x = 17,455.87 × 6,984.13
  4. Step 4: Simplify right side
    12,649.51x = 121,914,065.34
  5. Step 5: Solve for x
    x = 121,914,065.34/12,649.51
  6. Step 6: Final answer
    x = 9,637.85

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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.