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Finding the Fourth Proportional to 7,048.97, 9,720.87 and 4,215.88

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Solution

The fourth proportional to 7,048.97, 9,720.87 and 4,215.88 is: 5,813.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,048.97 : 9,720.87 = 4,215.88 : x
  2. Step 2: Convert to fraction form
    7,048.97/9,720.87 = 4,215.88/x
  3. Step 3: Cross multiply
    7,048.97x = 9,720.87 × 4,215.88
  4. Step 4: Simplify right side
    7,048.97x = 40,981,972.81
  5. Step 5: Solve for x
    x = 40,981,972.81/7,048.97
  6. Step 6: Final answer
    x = 5,813.90

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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.