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Finding the Fourth Proportional to 6,460.47, 9,700.43 and 3,690.27

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Solution

The fourth proportional to 6,460.47, 9,700.43 and 3,690.27 is: 5,540.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,460.47 : 9,700.43 = 3,690.27 : x
  2. Step 2: Convert to fraction form
    6,460.47/9,700.43 = 3,690.27/x
  3. Step 3: Cross multiply
    6,460.47x = 9,700.43 × 3,690.27
  4. Step 4: Simplify right side
    6,460.47x = 35,797,187.36
  5. Step 5: Solve for x
    x = 35,797,187.36/6,460.47
  6. Step 6: Final answer
    x = 5,540.96

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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.