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Finding the Fourth Proportional to 9,861.63, 13,609.13 and 5,385.30

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Solution

The fourth proportional to 9,861.63, 13,609.13 and 5,385.30 is: 7,431.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,861.63 : 13,609.13 = 5,385.30 : x
  2. Step 2: Convert to fraction form
    9,861.63/13,609.13 = 5,385.30/x
  3. Step 3: Cross multiply
    9,861.63x = 13,609.13 × 5,385.30
  4. Step 4: Simplify right side
    9,861.63x = 73,289,220.86
  5. Step 5: Solve for x
    x = 73,289,220.86/9,861.63
  6. Step 6: Final answer
    x = 7,431.76

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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.