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Finding the Fourth Proportional to 8,315.40, 12,474.70 and 4,211.40

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Solution

The fourth proportional to 8,315.40, 12,474.70 and 4,211.40 is: 6,317.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,315.40 : 12,474.70 = 4,211.40 : x
  2. Step 2: Convert to fraction form
    8,315.40/12,474.70 = 4,211.40/x
  3. Step 3: Cross multiply
    8,315.40x = 12,474.70 × 4,211.40
  4. Step 4: Simplify right side
    8,315.40x = 52,535,951.58
  5. Step 5: Solve for x
    x = 52,535,951.58/8,315.40
  6. Step 6: Final answer
    x = 6,317.91

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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.