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Finding the Fourth Proportional to 6,309.47, 8,706.75 and 3,657.74

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Solution

The fourth proportional to 6,309.47, 8,706.75 and 3,657.74 is: 5,047.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,309.47 : 8,706.75 = 3,657.74 : x
  2. Step 2: Convert to fraction form
    6,309.47/8,706.75 = 3,657.74/x
  3. Step 3: Cross multiply
    6,309.47x = 8,706.75 × 3,657.74
  4. Step 4: Simplify right side
    6,309.47x = 31,846,984.21
  5. Step 5: Solve for x
    x = 31,846,984.21/6,309.47
  6. Step 6: Final answer
    x = 5,047.49

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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.