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Finding the Fourth Proportional to 2,159.74, 3,239.34 and 599.86

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Solution

The fourth proportional to 2,159.74, 3,239.34 and 599.86 is: 899.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,159.74 : 3,239.34 = 599.86 : x
  2. Step 2: Convert to fraction form
    2,159.74/3,239.34 = 599.86/x
  3. Step 3: Cross multiply
    2,159.74x = 3,239.34 × 599.86
  4. Step 4: Simplify right side
    2,159.74x = 1,943,150.49
  5. Step 5: Solve for x
    x = 1,943,150.49/2,159.74
  6. Step 6: Final answer
    x = 899.72

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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.