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Finding the Fourth Proportional to 12,857.67, 19,307.43 and 7,958.52

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Solution

The fourth proportional to 12,857.67, 19,307.43 and 7,958.52 is: 11,950.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,857.67 : 19,307.43 = 7,958.52 : x
  2. Step 2: Convert to fraction form
    12,857.67/19,307.43 = 7,958.52/x
  3. Step 3: Cross multiply
    12,857.67x = 19,307.43 × 7,958.52
  4. Step 4: Simplify right side
    12,857.67x = 153,658,567.80
  5. Step 5: Solve for x
    x = 153,658,567.80/12,857.67
  6. Step 6: Final answer
    x = 11,950.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.