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Finding the Fourth Proportional to 8,670.64, 13,013.24 and 8,123.90

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Solution

The fourth proportional to 8,670.64, 13,013.24 and 8,123.90 is: 12,192.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,670.64 : 13,013.24 = 8,123.90 : x
  2. Step 2: Convert to fraction form
    8,670.64/13,013.24 = 8,123.90/x
  3. Step 3: Cross multiply
    8,670.64x = 13,013.24 × 8,123.90
  4. Step 4: Simplify right side
    8,670.64x = 105,718,260.44
  5. Step 5: Solve for x
    x = 105,718,260.44/8,670.64
  6. Step 6: Final answer
    x = 12,192.67

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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.