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Finding the Fourth Proportional to 10,550.88, 14,560.38 and 5,835.16

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Solution

The fourth proportional to 10,550.88, 14,560.38 and 5,835.16 is: 8,052.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,550.88 : 14,560.38 = 5,835.16 : x
  2. Step 2: Convert to fraction form
    10,550.88/14,560.38 = 5,835.16/x
  3. Step 3: Cross multiply
    10,550.88x = 14,560.38 × 5,835.16
  4. Step 4: Simplify right side
    10,550.88x = 84,962,146.96
  5. Step 5: Solve for x
    x = 84,962,146.96/10,550.88
  6. Step 6: Final answer
    x = 8,052.61

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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.