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Finding the Fourth Proportional to 8,470.50, 12,706.47 and 2,314.50

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Solution

The fourth proportional to 8,470.50, 12,706.47 and 2,314.50 is: 3,471.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,470.50 : 12,706.47 = 2,314.50 : x
  2. Step 2: Convert to fraction form
    8,470.50/12,706.47 = 2,314.50/x
  3. Step 3: Cross multiply
    8,470.50x = 12,706.47 × 2,314.50
  4. Step 4: Simplify right side
    8,470.50x = 29,409,124.82
  5. Step 5: Solve for x
    x = 29,409,124.82/8,470.50
  6. Step 6: Final answer
    x = 3,471.95

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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.