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Finding the Fourth Proportional to 12,847.56, 17,731.14 and 7,258.56

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Solution

The fourth proportional to 12,847.56, 17,731.14 and 7,258.56 is: 10,017.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,847.56 : 17,731.14 = 7,258.56 : x
  2. Step 2: Convert to fraction form
    12,847.56/17,731.14 = 7,258.56/x
  3. Step 3: Cross multiply
    12,847.56x = 17,731.14 × 7,258.56
  4. Step 4: Simplify right side
    12,847.56x = 128,702,543.56
  5. Step 5: Solve for x
    x = 128,702,543.56/12,847.56
  6. Step 6: Final answer
    x = 10,017.66

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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.