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Finding the Fourth Proportional to 3,720, 5,582.56 and 1,288

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Solution

The fourth proportional to 3,720, 5,582.56 and 1,288 is: 1,932.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,720 : 5,582.56 = 1,288 : x
  2. Step 2: Convert to fraction form
    3,720/5,582.56 = 1,288/x
  3. Step 3: Cross multiply
    3,720x = 5,582.56 × 1,288
  4. Step 4: Simplify right side
    3,720x = 7,190,337.28
  5. Step 5: Solve for x
    x = 7,190,337.28/3,720
  6. Step 6: Final answer
    x = 1,932.89

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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.