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Finding the Fourth Proportional to 8,215.84, 12,323.85 and 2,372.50

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Solution

The fourth proportional to 8,215.84, 12,323.85 and 2,372.50 is: 3,558.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,215.84 : 12,323.85 = 2,372.50 : x
  2. Step 2: Convert to fraction form
    8,215.84/12,323.85 = 2,372.50/x
  3. Step 3: Cross multiply
    8,215.84x = 12,323.85 × 2,372.50
  4. Step 4: Simplify right side
    8,215.84x = 29,238,334.13
  5. Step 5: Solve for x
    x = 29,238,334.13/8,215.84
  6. Step 6: Final answer
    x = 3,558.78

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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.