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Finding the Fourth Proportional to 3,699.66, 5,549.43 and 1,234.65

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Solution

The fourth proportional to 3,699.66, 5,549.43 and 1,234.65 is: 1,851.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,699.66 : 5,549.43 = 1,234.65 : x
  2. Step 2: Convert to fraction form
    3,699.66/5,549.43 = 1,234.65/x
  3. Step 3: Cross multiply
    3,699.66x = 5,549.43 × 1,234.65
  4. Step 4: Simplify right side
    3,699.66x = 6,851,603.75
  5. Step 5: Solve for x
    x = 6,851,603.75/3,699.66
  6. Step 6: Final answer
    x = 1,851.95

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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.