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Finding the Fourth Proportional to 9,640.43, 14,420.64 and 9,049.94

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Solution

The fourth proportional to 9,640.43, 14,420.64 and 9,049.94 is: 13,537.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,640.43 : 14,420.64 = 9,049.94 : x
  2. Step 2: Convert to fraction form
    9,640.43/14,420.64 = 9,049.94/x
  3. Step 3: Cross multiply
    9,640.43x = 14,420.64 × 9,049.94
  4. Step 4: Simplify right side
    9,640.43x = 130,505,854.66
  5. Step 5: Solve for x
    x = 130,505,854.66/9,640.43
  6. Step 6: Final answer
    x = 13,537.35

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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.