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Finding the Fourth Proportional to 12,847.68, 17,729.64 and 7,258.68

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Solution

The fourth proportional to 12,847.68, 17,729.64 and 7,258.68 is: 10,016.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,847.68 : 17,729.64 = 7,258.68 : x
  2. Step 2: Convert to fraction form
    12,847.68/17,729.64 = 7,258.68/x
  3. Step 3: Cross multiply
    12,847.68x = 17,729.64 × 7,258.68
  4. Step 4: Simplify right side
    12,847.68x = 128,693,783.28
  5. Step 5: Solve for x
    x = 128,693,783.28/12,847.68
  6. Step 6: Final answer
    x = 10,016.89

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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.