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Finding the Fourth Proportional to 9,640.86, 14,460.21 and 6,540.78

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Solution

The fourth proportional to 9,640.86, 14,460.21 and 6,540.78 is: 9,810.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,640.86 : 14,460.21 = 6,540.78 : x
  2. Step 2: Convert to fraction form
    9,640.86/14,460.21 = 6,540.78/x
  3. Step 3: Cross multiply
    9,640.86x = 14,460.21 × 6,540.78
  4. Step 4: Simplify right side
    9,640.86x = 94,581,052.36
  5. Step 5: Solve for x
    x = 94,581,052.36/9,640.86
  6. Step 6: Final answer
    x = 9,810.44

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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.