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Finding the Fourth Proportional to 6,542.79, 9,812.79 and 2,159.21

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Solution

The fourth proportional to 6,542.79, 9,812.79 and 2,159.21 is: 3,238.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,542.79 : 9,812.79 = 2,159.21 : x
  2. Step 2: Convert to fraction form
    6,542.79/9,812.79 = 2,159.21/x
  3. Step 3: Cross multiply
    6,542.79x = 9,812.79 × 2,159.21
  4. Step 4: Simplify right side
    6,542.79x = 21,187,825.23
  5. Step 5: Solve for x
    x = 21,187,825.23/6,542.79
  6. Step 6: Final answer
    x = 3,238.35

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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.