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Finding the Fourth Proportional to 12,733, 17,571.54 and 7,143.88

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Solution

The fourth proportional to 12,733, 17,571.54 and 7,143.88 is: 9,858.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,733 : 17,571.54 = 7,143.88 : x
  2. Step 2: Convert to fraction form
    12,733/17,571.54 = 7,143.88/x
  3. Step 3: Cross multiply
    12,733x = 17,571.54 × 7,143.88
  4. Step 4: Simplify right side
    12,733x = 125,528,973.18
  5. Step 5: Solve for x
    x = 125,528,973.18/12,733
  6. Step 6: Final answer
    x = 9,858.55

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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.