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Finding the Fourth Proportional to 6,310.40, 8,708.15 and 3,657.65

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Solution

The fourth proportional to 6,310.40, 8,708.15 and 3,657.65 is: 5,047.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,310.40 : 8,708.15 = 3,657.65 : x
  2. Step 2: Convert to fraction form
    6,310.40/8,708.15 = 3,657.65/x
  3. Step 3: Cross multiply
    6,310.40x = 8,708.15 × 3,657.65
  4. Step 4: Simplify right side
    6,310.40x = 31,851,303.02
  5. Step 5: Solve for x
    x = 31,851,303.02/6,310.40
  6. Step 6: Final answer
    x = 5,047.43

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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.