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Finding the Fourth Proportional to 6,490.44, 9,730.80 and 4,536.72

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Solution

The fourth proportional to 6,490.44, 9,730.80 and 4,536.72 is: 6,801.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,490.44 : 9,730.80 = 4,536.72 : x
  2. Step 2: Convert to fraction form
    6,490.44/9,730.80 = 4,536.72/x
  3. Step 3: Cross multiply
    6,490.44x = 9,730.80 × 4,536.72
  4. Step 4: Simplify right side
    6,490.44x = 44,145,914.98
  5. Step 5: Solve for x
    x = 44,145,914.98/6,490.44
  6. Step 6: Final answer
    x = 6,801.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.