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Finding the Fourth Proportional to 2,397.11, 3,595.86 and 665.74

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Solution

The fourth proportional to 2,397.11, 3,595.86 and 665.74 is: 998.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,397.11 : 3,595.86 = 665.74 : x
  2. Step 2: Convert to fraction form
    2,397.11/3,595.86 = 665.74/x
  3. Step 3: Cross multiply
    2,397.11x = 3,595.86 × 665.74
  4. Step 4: Simplify right side
    2,397.11x = 2,393,889.86
  5. Step 5: Solve for x
    x = 2,393,889.86/2,397.11
  6. Step 6: Final answer
    x = 998.66

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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.