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Finding the Fourth Proportional to 1,700, 2,549.64 and 1,377.20

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Solution

The fourth proportional to 1,700, 2,549.64 and 1,377.20 is: 2,065.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,700 : 2,549.64 = 1,377.20 : x
  2. Step 2: Convert to fraction form
    1,700/2,549.64 = 1,377.20/x
  3. Step 3: Cross multiply
    1,700x = 2,549.64 × 1,377.20
  4. Step 4: Simplify right side
    1,700x = 3,511,364.21
  5. Step 5: Solve for x
    x = 3,511,364.21/1,700
  6. Step 6: Final answer
    x = 2,065.51

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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.