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Finding the Fourth Proportional to 5,811.13, 8,005.80 and 4,039.66

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Solution

The fourth proportional to 5,811.13, 8,005.80 and 4,039.66 is: 5,565.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,811.13 : 8,005.80 = 4,039.66 : x
  2. Step 2: Convert to fraction form
    5,811.13/8,005.80 = 4,039.66/x
  3. Step 3: Cross multiply
    5,811.13x = 8,005.80 × 4,039.66
  4. Step 4: Simplify right side
    5,811.13x = 32,340,710.03
  5. Step 5: Solve for x
    x = 32,340,710.03/5,811.13
  6. Step 6: Final answer
    x = 5,565.30

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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.