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Finding the Fourth Proportional to 12,857.41, 17,743.08 and 7,552.72

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Solution

The fourth proportional to 12,857.41, 17,743.08 and 7,552.72 is: 10,422.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,857.41 : 17,743.08 = 7,552.72 : x
  2. Step 2: Convert to fraction form
    12,857.41/17,743.08 = 7,552.72/x
  3. Step 3: Cross multiply
    12,857.41x = 17,743.08 × 7,552.72
  4. Step 4: Simplify right side
    12,857.41x = 134,008,515.18
  5. Step 5: Solve for x
    x = 134,008,515.18/12,857.41
  6. Step 6: Final answer
    x = 10,422.67

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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.