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Finding the Fourth Proportional to 6,309.13, 8,643.54 and 6,072.66

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Solution

The fourth proportional to 6,309.13, 8,643.54 and 6,072.66 is: 8,319.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,309.13 : 8,643.54 = 6,072.66 : x
  2. Step 2: Convert to fraction form
    6,309.13/8,643.54 = 6,072.66/x
  3. Step 3: Cross multiply
    6,309.13x = 8,643.54 × 6,072.66
  4. Step 4: Simplify right side
    6,309.13x = 52,489,236.40
  5. Step 5: Solve for x
    x = 52,489,236.40/6,309.13
  6. Step 6: Final answer
    x = 8,319.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.