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Finding the Fourth Proportional to 6,519.64, 8,993.80 and 4,657.72

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Solution

The fourth proportional to 6,519.64, 8,993.80 and 4,657.72 is: 6,425.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,519.64 : 8,993.80 = 4,657.72 : x
  2. Step 2: Convert to fraction form
    6,519.64/8,993.80 = 4,657.72/x
  3. Step 3: Cross multiply
    6,519.64x = 8,993.80 × 4,657.72
  4. Step 4: Simplify right side
    6,519.64x = 41,890,602.14
  5. Step 5: Solve for x
    x = 41,890,602.14/6,519.64
  6. Step 6: Final answer
    x = 6,425.29

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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.