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Finding the Fourth Proportional to 3,670.98, 5,507.15 and 1,206.51

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Solution

The fourth proportional to 3,670.98, 5,507.15 and 1,206.51 is: 1,809.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,670.98 : 5,507.15 = 1,206.51 : x
  2. Step 2: Convert to fraction form
    3,670.98/5,507.15 = 1,206.51/x
  3. Step 3: Cross multiply
    3,670.98x = 5,507.15 × 1,206.51
  4. Step 4: Simplify right side
    3,670.98x = 6,644,404.01
  5. Step 5: Solve for x
    x = 6,644,404.01/3,670.98
  6. Step 6: Final answer
    x = 1,809.98

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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.