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Finding the Fourth Proportional to 6,345.57, 9,507.42 and 4,940.49

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Solution

The fourth proportional to 6,345.57, 9,507.42 and 4,940.49 is: 7,402.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,345.57 : 9,507.42 = 4,940.49 : x
  2. Step 2: Convert to fraction form
    6,345.57/9,507.42 = 4,940.49/x
  3. Step 3: Cross multiply
    6,345.57x = 9,507.42 × 4,940.49
  4. Step 4: Simplify right side
    6,345.57x = 46,971,313.44
  5. Step 5: Solve for x
    x = 46,971,313.44/6,345.57
  6. Step 6: Final answer
    x = 7,402.22

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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.