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Finding the Fourth Proportional to 6,941.80, 10,412.70 and 3,661.30

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Solution

The fourth proportional to 6,941.80, 10,412.70 and 3,661.30 is: 5,491.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,941.80 : 10,412.70 = 3,661.30 : x
  2. Step 2: Convert to fraction form
    6,941.80/10,412.70 = 3,661.30/x
  3. Step 3: Cross multiply
    6,941.80x = 10,412.70 × 3,661.30
  4. Step 4: Simplify right side
    6,941.80x = 38,124,018.51
  5. Step 5: Solve for x
    x = 38,124,018.51/6,941.80
  6. Step 6: Final answer
    x = 5,491.95

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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.