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Finding the Fourth Proportional to 7,057.48, 9,739.48 and 3,913.78

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Solution

The fourth proportional to 7,057.48, 9,739.48 and 3,913.78 is: 5,401.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,057.48 : 9,739.48 = 3,913.78 : x
  2. Step 2: Convert to fraction form
    7,057.48/9,739.48 = 3,913.78/x
  3. Step 3: Cross multiply
    7,057.48x = 9,739.48 × 3,913.78
  4. Step 4: Simplify right side
    7,057.48x = 38,118,182.03
  5. Step 5: Solve for x
    x = 38,118,182.03/7,057.48
  6. Step 6: Final answer
    x = 5,401.10

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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.