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Finding the Fourth Proportional to 9,781.69, 13,500.46 and 5,805

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Solution

The fourth proportional to 9,781.69, 13,500.46 and 5,805 is: 8,011.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,781.69 : 13,500.46 = 5,805 : x
  2. Step 2: Convert to fraction form
    9,781.69/13,500.46 = 5,805/x
  3. Step 3: Cross multiply
    9,781.69x = 13,500.46 × 5,805
  4. Step 4: Simplify right side
    9,781.69x = 78,370,170.30
  5. Step 5: Solve for x
    x = 78,370,170.30/9,781.69
  6. Step 6: Final answer
    x = 8,011.93

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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.