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Finding the Fourth Proportional to 8,234.85, 12,416.87 and 7,545.95

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Solution

The fourth proportional to 8,234.85, 12,416.87 and 7,545.95 is: 11,378.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,234.85 : 12,416.87 = 7,545.95 : x
  2. Step 2: Convert to fraction form
    8,234.85/12,416.87 = 7,545.95/x
  3. Step 3: Cross multiply
    8,234.85x = 12,416.87 × 7,545.95
  4. Step 4: Simplify right side
    8,234.85x = 93,696,980.36
  5. Step 5: Solve for x
    x = 93,696,980.36/8,234.85
  6. Step 6: Final answer
    x = 11,378.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.