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Finding the Fourth Proportional to 9,767.03, 13,478.53 and 5,290.76

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Solution

The fourth proportional to 9,767.03, 13,478.53 and 5,290.76 is: 7,301.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,767.03 : 13,478.53 = 5,290.76 : x
  2. Step 2: Convert to fraction form
    9,767.03/13,478.53 = 5,290.76/x
  3. Step 3: Cross multiply
    9,767.03x = 13,478.53 × 5,290.76
  4. Step 4: Simplify right side
    9,767.03x = 71,311,687.85
  5. Step 5: Solve for x
    x = 71,311,687.85/9,767.03
  6. Step 6: Final answer
    x = 7,301.27

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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.