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Finding the Fourth Proportional to 4,859.68, 7,288.70 and 1,739.20

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Solution

The fourth proportional to 4,859.68, 7,288.70 and 1,739.20 is: 2,608.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,859.68 : 7,288.70 = 1,739.20 : x
  2. Step 2: Convert to fraction form
    4,859.68/7,288.70 = 1,739.20/x
  3. Step 3: Cross multiply
    4,859.68x = 7,288.70 × 1,739.20
  4. Step 4: Simplify right side
    4,859.68x = 12,676,507.04
  5. Step 5: Solve for x
    x = 12,676,507.04/4,859.68
  6. Step 6: Final answer
    x = 2,608.51

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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.