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Finding the Fourth Proportional to 8,307.78, 12,463.24 and 2,686.95

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Solution

The fourth proportional to 8,307.78, 12,463.24 and 2,686.95 is: 4,030.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,307.78 : 12,463.24 = 2,686.95 : x
  2. Step 2: Convert to fraction form
    8,307.78/12,463.24 = 2,686.95/x
  3. Step 3: Cross multiply
    8,307.78x = 12,463.24 × 2,686.95
  4. Step 4: Simplify right side
    8,307.78x = 33,488,102.72
  5. Step 5: Solve for x
    x = 33,488,102.72/8,307.78
  6. Step 6: Final answer
    x = 4,030.93

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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.