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Finding the Fourth Proportional to 3,774.70, 5,662.86 and 1,582.30

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Solution

The fourth proportional to 3,774.70, 5,662.86 and 1,582.30 is: 2,373.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,774.70 : 5,662.86 = 1,582.30 : x
  2. Step 2: Convert to fraction form
    3,774.70/5,662.86 = 1,582.30/x
  3. Step 3: Cross multiply
    3,774.70x = 5,662.86 × 1,582.30
  4. Step 4: Simplify right side
    3,774.70x = 8,960,343.38
  5. Step 5: Solve for x
    x = 8,960,343.38/3,774.70
  6. Step 6: Final answer
    x = 2,373.79

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1.5x scale

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.