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Finding the Fourth Proportional to 2,702.50, 4,051.20 and 1,662.94

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Solution

The fourth proportional to 2,702.50, 4,051.20 and 1,662.94 is: 2,492.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.50 : 4,051.20 = 1,662.94 : x
  2. Step 2: Convert to fraction form
    2,702.50/4,051.20 = 1,662.94/x
  3. Step 3: Cross multiply
    2,702.50x = 4,051.20 × 1,662.94
  4. Step 4: Simplify right side
    2,702.50x = 6,736,902.53
  5. Step 5: Solve for x
    x = 6,736,902.53/2,702.50
  6. Step 6: Final answer
    x = 2,492.84

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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.