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Finding the Fourth Proportional to 4,690.64, 7,038.32 and 1,768.96

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Solution

The fourth proportional to 4,690.64, 7,038.32 and 1,768.96 is: 2,654.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,690.64 : 7,038.32 = 1,768.96 : x
  2. Step 2: Convert to fraction form
    4,690.64/7,038.32 = 1,768.96/x
  3. Step 3: Cross multiply
    4,690.64x = 7,038.32 × 1,768.96
  4. Step 4: Simplify right side
    4,690.64x = 12,450,506.55
  5. Step 5: Solve for x
    x = 12,450,506.55/4,690.64
  6. Step 6: Final answer
    x = 2,654.33

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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.