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Finding the Fourth Proportional to 12,847.86, 17,729.19 and 7,258.50

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Solution

The fourth proportional to 12,847.86, 17,729.19 and 7,258.50 is: 10,016.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,847.86 : 17,729.19 = 7,258.50 : x
  2. Step 2: Convert to fraction form
    12,847.86/17,729.19 = 7,258.50/x
  3. Step 3: Cross multiply
    12,847.86x = 17,729.19 × 7,258.50
  4. Step 4: Simplify right side
    12,847.86x = 128,687,325.62
  5. Step 5: Solve for x
    x = 128,687,325.62/12,847.86
  6. Step 6: Final answer
    x = 10,016.25

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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.