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Finding the Fourth Proportional to 10,480.75, 14,463.84 and 5,764.93

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Solution

The fourth proportional to 10,480.75, 14,463.84 and 5,764.93 is: 7,955.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,480.75 : 14,463.84 = 5,764.93 : x
  2. Step 2: Convert to fraction form
    10,480.75/14,463.84 = 5,764.93/x
  3. Step 3: Cross multiply
    10,480.75x = 14,463.84 × 5,764.93
  4. Step 4: Simplify right side
    10,480.75x = 83,383,025.13
  5. Step 5: Solve for x
    x = 83,383,025.13/10,480.75
  6. Step 6: Final answer
    x = 7,955.83

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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.