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Finding the Fourth Proportional to 6,782.92, 9,361.26 and 4,130.71

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Solution

The fourth proportional to 6,782.92, 9,361.26 and 4,130.71 is: 5,700.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,782.92 : 9,361.26 = 4,130.71 : x
  2. Step 2: Convert to fraction form
    6,782.92/9,361.26 = 4,130.71/x
  3. Step 3: Cross multiply
    6,782.92x = 9,361.26 × 4,130.71
  4. Step 4: Simplify right side
    6,782.92x = 38,668,650.29
  5. Step 5: Solve for x
    x = 38,668,650.29/6,782.92
  6. Step 6: Final answer
    x = 5,700.89

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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.