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Finding the Fourth Proportional to 8,315, 12,472.50 and 4,211

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Solution

The fourth proportional to 8,315, 12,472.50 and 4,211 is: 6,316.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,315 : 12,472.50 = 4,211 : x
  2. Step 2: Convert to fraction form
    8,315/12,472.50 = 4,211/x
  3. Step 3: Cross multiply
    8,315x = 12,472.50 × 4,211
  4. Step 4: Simplify right side
    8,315x = 52,521,697.50
  5. Step 5: Solve for x
    x = 52,521,697.50/8,315
  6. Step 6: Final answer
    x = 6,316.50

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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.