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Finding the Fourth Proportional to 4,764.96, 7,147.40 and 1,302.20

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Solution

The fourth proportional to 4,764.96, 7,147.40 and 1,302.20 is: 1,953.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,764.96 : 7,147.40 = 1,302.20 : x
  2. Step 2: Convert to fraction form
    4,764.96/7,147.40 = 1,302.20/x
  3. Step 3: Cross multiply
    4,764.96x = 7,147.40 × 1,302.20
  4. Step 4: Simplify right side
    4,764.96x = 9,307,344.28
  5. Step 5: Solve for x
    x = 9,307,344.28/4,764.96
  6. Step 6: Final answer
    x = 1,953.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.