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Finding the Fourth Proportional to 4,278.62, 5,902.62 and 2,509.43

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Solution

The fourth proportional to 4,278.62, 5,902.62 and 2,509.43 is: 3,461.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,278.62 : 5,902.62 = 2,509.43 : x
  2. Step 2: Convert to fraction form
    4,278.62/5,902.62 = 2,509.43/x
  3. Step 3: Cross multiply
    4,278.62x = 5,902.62 × 2,509.43
  4. Step 4: Simplify right side
    4,278.62x = 14,812,220.10
  5. Step 5: Solve for x
    x = 14,812,220.10/4,278.62
  6. Step 6: Final answer
    x = 3,461.91

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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.