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Finding the Fourth Proportional to 5,159.39, 7,739.31 and 1,649.55

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Solution

The fourth proportional to 5,159.39, 7,739.31 and 1,649.55 is: 2,474.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,159.39 : 7,739.31 = 1,649.55 : x
  2. Step 2: Convert to fraction form
    5,159.39/7,739.31 = 1,649.55/x
  3. Step 3: Cross multiply
    5,159.39x = 7,739.31 × 1,649.55
  4. Step 4: Simplify right side
    5,159.39x = 12,766,378.81
  5. Step 5: Solve for x
    x = 12,766,378.81/5,159.39
  6. Step 6: Final answer
    x = 2,474.40

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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.