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Finding the Fourth Proportional to 2,159.81, 3,239.79 and 599.83

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Solution

The fourth proportional to 2,159.81, 3,239.79 and 599.83 is: 899.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,159.81 : 3,239.79 = 599.83 : x
  2. Step 2: Convert to fraction form
    2,159.81/3,239.79 = 599.83/x
  3. Step 3: Cross multiply
    2,159.81x = 3,239.79 × 599.83
  4. Step 4: Simplify right side
    2,159.81x = 1,943,323.24
  5. Step 5: Solve for x
    x = 1,943,323.24/2,159.81
  6. Step 6: Final answer
    x = 899.77

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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.