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Finding the Fourth Proportional to 8,307.78, 12,447.06 and 7,403.82

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Solution

The fourth proportional to 8,307.78, 12,447.06 and 7,403.82 is: 11,092.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,307.78 : 12,447.06 = 7,403.82 : x
  2. Step 2: Convert to fraction form
    8,307.78/12,447.06 = 7,403.82/x
  3. Step 3: Cross multiply
    8,307.78x = 12,447.06 × 7,403.82
  4. Step 4: Simplify right side
    8,307.78x = 92,155,791.77
  5. Step 5: Solve for x
    x = 92,155,791.77/8,307.78
  6. Step 6: Final answer
    x = 11,092.71

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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.