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Finding the Fourth Proportional to 3,809.57, 5,257.16 and 2,130.98

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Solution

The fourth proportional to 3,809.57, 5,257.16 and 2,130.98 is: 2,940.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,809.57 : 5,257.16 = 2,130.98 : x
  2. Step 2: Convert to fraction form
    3,809.57/5,257.16 = 2,130.98/x
  3. Step 3: Cross multiply
    3,809.57x = 5,257.16 × 2,130.98
  4. Step 4: Simplify right side
    3,809.57x = 11,202,881.86
  5. Step 5: Solve for x
    x = 11,202,881.86/3,809.57
  6. Step 6: Final answer
    x = 2,940.72

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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.