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Finding the Fourth Proportional to 8,315.76, 11,472.74 and 6,402.16

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Solution

The fourth proportional to 8,315.76, 11,472.74 and 6,402.16 is: 8,832.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,315.76 : 11,472.74 = 6,402.16 : x
  2. Step 2: Convert to fraction form
    8,315.76/11,472.74 = 6,402.16/x
  3. Step 3: Cross multiply
    8,315.76x = 11,472.74 × 6,402.16
  4. Step 4: Simplify right side
    8,315.76x = 73,450,355.72
  5. Step 5: Solve for x
    x = 73,450,355.72/8,315.76
  6. Step 6: Final answer
    x = 8,832.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.