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Finding the Fourth Proportional to 5,809.86, 8,009.82 and 5,685.66

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Solution

The fourth proportional to 5,809.86, 8,009.82 and 5,685.66 is: 7,838.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,809.86 : 8,009.82 = 5,685.66 : x
  2. Step 2: Convert to fraction form
    5,809.86/8,009.82 = 5,685.66/x
  3. Step 3: Cross multiply
    5,809.86x = 8,009.82 × 5,685.66
  4. Step 4: Simplify right side
    5,809.86x = 45,541,113.18
  5. Step 5: Solve for x
    x = 45,541,113.18/5,809.86
  6. Step 6: Final answer
    x = 7,838.59

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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.