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Finding the Fourth Proportional to 1,771.42, 2,660.10 and 1,332.67

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Solution

The fourth proportional to 1,771.42, 2,660.10 and 1,332.67 is: 2,001.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,771.42 : 2,660.10 = 1,332.67 : x
  2. Step 2: Convert to fraction form
    1,771.42/2,660.10 = 1,332.67/x
  3. Step 3: Cross multiply
    1,771.42x = 2,660.10 × 1,332.67
  4. Step 4: Simplify right side
    1,771.42x = 3,545,035.47
  5. Step 5: Solve for x
    x = 3,545,035.47/1,771.42
  6. Step 6: Final answer
    x = 2,001.24

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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.