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Finding the Fourth Proportional to 5,665.53, 7,821.09 and 3,780.30

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Solution

The fourth proportional to 5,665.53, 7,821.09 and 3,780.30 is: 5,218.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,665.53 : 7,821.09 = 3,780.30 : x
  2. Step 2: Convert to fraction form
    5,665.53/7,821.09 = 3,780.30/x
  3. Step 3: Cross multiply
    5,665.53x = 7,821.09 × 3,780.30
  4. Step 4: Simplify right side
    5,665.53x = 29,566,066.53
  5. Step 5: Solve for x
    x = 29,566,066.53/5,665.53
  6. Step 6: Final answer
    x = 5,218.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.