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Finding the Fourth Proportional to 9,537.70, 13,161.98 and 5,345.86

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Solution

The fourth proportional to 9,537.70, 13,161.98 and 5,345.86 is: 7,377.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,537.70 : 13,161.98 = 5,345.86 : x
  2. Step 2: Convert to fraction form
    9,537.70/13,161.98 = 5,345.86/x
  3. Step 3: Cross multiply
    9,537.70x = 13,161.98 × 5,345.86
  4. Step 4: Simplify right side
    9,537.70x = 70,362,102.40
  5. Step 5: Solve for x
    x = 70,362,102.40/9,537.70
  6. Step 6: Final answer
    x = 7,377.26

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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.