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Finding the Fourth Proportional to 9,617, 13,271.78 and 5,890.28

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Solution

The fourth proportional to 9,617, 13,271.78 and 5,890.28 is: 8,128.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,617 : 13,271.78 = 5,890.28 : x
  2. Step 2: Convert to fraction form
    9,617/13,271.78 = 5,890.28/x
  3. Step 3: Cross multiply
    9,617x = 13,271.78 × 5,890.28
  4. Step 4: Simplify right side
    9,617x = 78,174,500.30
  5. Step 5: Solve for x
    x = 78,174,500.30/9,617
  6. Step 6: Final answer
    x = 8,128.78

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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.