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Finding the Fourth Proportional to 12,649.62, 17,457.50 and 6,984.88

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Solution

The fourth proportional to 12,649.62, 17,457.50 and 6,984.88 is: 9,639.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,649.62 : 17,457.50 = 6,984.88 : x
  2. Step 2: Convert to fraction form
    12,649.62/17,457.50 = 6,984.88/x
  3. Step 3: Cross multiply
    12,649.62x = 17,457.50 × 6,984.88
  4. Step 4: Simplify right side
    12,649.62x = 121,938,542.60
  5. Step 5: Solve for x
    x = 121,938,542.60/12,649.62
  6. Step 6: Final answer
    x = 9,639.70

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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.