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Finding the Fourth Proportional to 9,890.96, 13,640.04 and 6,530.96

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Solution

The fourth proportional to 9,890.96, 13,640.04 and 6,530.96 is: 9,006.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,890.96 : 13,640.04 = 6,530.96 : x
  2. Step 2: Convert to fraction form
    9,890.96/13,640.04 = 6,530.96/x
  3. Step 3: Cross multiply
    9,890.96x = 13,640.04 × 6,530.96
  4. Step 4: Simplify right side
    9,890.96x = 89,082,555.64
  5. Step 5: Solve for x
    x = 89,082,555.64/9,890.96
  6. Step 6: Final answer
    x = 9,006.46

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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.