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Finding the Fourth Proportional to 12,190.47, 16,829.54 and 7,657.88

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Solution

The fourth proportional to 12,190.47, 16,829.54 and 7,657.88 is: 10,572.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,190.47 : 16,829.54 = 7,657.88 : x
  2. Step 2: Convert to fraction form
    12,190.47/16,829.54 = 7,657.88/x
  3. Step 3: Cross multiply
    12,190.47x = 16,829.54 × 7,657.88
  4. Step 4: Simplify right side
    12,190.47x = 128,878,504.06
  5. Step 5: Solve for x
    x = 128,878,504.06/12,190.47
  6. Step 6: Final answer
    x = 10,572.07

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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.