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Finding the Fourth Proportional to 2,397.59, 3,596.39 and 666.21

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Solution

The fourth proportional to 2,397.59, 3,596.39 and 666.21 is: 999.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,397.59 : 3,596.39 = 666.21 : x
  2. Step 2: Convert to fraction form
    2,397.59/3,596.39 = 666.21/x
  3. Step 3: Cross multiply
    2,397.59x = 3,596.39 × 666.21
  4. Step 4: Simplify right side
    2,397.59x = 2,395,947.65
  5. Step 5: Solve for x
    x = 2,395,947.65/2,397.59
  6. Step 6: Final answer
    x = 999.32

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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.