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Finding the Fourth Proportional to 1,868.64, 2,576.44 and 1,702.16

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Solution

The fourth proportional to 1,868.64, 2,576.44 and 1,702.16 is: 2,346.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,868.64 : 2,576.44 = 1,702.16 : x
  2. Step 2: Convert to fraction form
    1,868.64/2,576.44 = 1,702.16/x
  3. Step 3: Cross multiply
    1,868.64x = 2,576.44 × 1,702.16
  4. Step 4: Simplify right side
    1,868.64x = 4,385,513.11
  5. Step 5: Solve for x
    x = 4,385,513.11/1,868.64
  6. Step 6: Final answer
    x = 2,346.90

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