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Finding the Fourth Proportional to 4,145.88, 5,721.12 and 2,468.40

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Solution

The fourth proportional to 4,145.88, 5,721.12 and 2,468.40 is: 3,406.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,145.88 : 5,721.12 = 2,468.40 : x
  2. Step 2: Convert to fraction form
    4,145.88/5,721.12 = 2,468.40/x
  3. Step 3: Cross multiply
    4,145.88x = 5,721.12 × 2,468.40
  4. Step 4: Simplify right side
    4,145.88x = 14,122,012.61
  5. Step 5: Solve for x
    x = 14,122,012.61/4,145.88
  6. Step 6: Final answer
    x = 3,406.28

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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.