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Finding the Fourth Proportional to 7,057.48, 9,739.48 and 3,913.68

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Solution

The fourth proportional to 7,057.48, 9,739.48 and 3,913.68 is: 5,400.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,057.48 : 9,739.48 = 3,913.68 : x
  2. Step 2: Convert to fraction form
    7,057.48/9,739.48 = 3,913.68/x
  3. Step 3: Cross multiply
    7,057.48x = 9,739.48 × 3,913.68
  4. Step 4: Simplify right side
    7,057.48x = 38,117,208.09
  5. Step 5: Solve for x
    x = 38,117,208.09/7,057.48
  6. Step 6: Final answer
    x = 5,400.97

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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.