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Finding the Fourth Proportional to 9,605, 13,254.90 and 5,189

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Solution

The fourth proportional to 9,605, 13,254.90 and 5,189 is: 7,160.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,605 : 13,254.90 = 5,189 : x
  2. Step 2: Convert to fraction form
    9,605/13,254.90 = 5,189/x
  3. Step 3: Cross multiply
    9,605x = 13,254.90 × 5,189
  4. Step 4: Simplify right side
    9,605x = 68,779,676.10
  5. Step 5: Solve for x
    x = 68,779,676.10/9,605
  6. Step 6: Final answer
    x = 7,160.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.