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Finding the Fourth Proportional to 2,082, 2,870.82 and 1,702.72

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Solution

The fourth proportional to 2,082, 2,870.82 and 1,702.72 is: 2,347.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082 : 2,870.82 = 1,702.72 : x
  2. Step 2: Convert to fraction form
    2,082/2,870.82 = 1,702.72/x
  3. Step 3: Cross multiply
    2,082x = 2,870.82 × 1,702.72
  4. Step 4: Simplify right side
    2,082x = 4,888,202.63
  5. Step 5: Solve for x
    x = 4,888,202.63/2,082
  6. Step 6: Final answer
    x = 2,347.84

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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.