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Finding the Fourth Proportional to 8,307.69, 12,442.10 and 6,229.77

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Solution

The fourth proportional to 8,307.69, 12,442.10 and 6,229.77 is: 9,330.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,307.69 : 12,442.10 = 6,229.77 : x
  2. Step 2: Convert to fraction form
    8,307.69/12,442.10 = 6,229.77/x
  3. Step 3: Cross multiply
    8,307.69x = 12,442.10 × 6,229.77
  4. Step 4: Simplify right side
    8,307.69x = 77,511,390.17
  5. Step 5: Solve for x
    x = 77,511,390.17/8,307.69
  6. Step 6: Final answer
    x = 9,330.08

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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.