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Finding the Fourth Proportional to 9,746.50, 13,450.10 and 5,270.26

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Solution

The fourth proportional to 9,746.50, 13,450.10 and 5,270.26 is: 7,272.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,746.50 : 13,450.10 = 5,270.26 : x
  2. Step 2: Convert to fraction form
    9,746.50/13,450.10 = 5,270.26/x
  3. Step 3: Cross multiply
    9,746.50x = 13,450.10 × 5,270.26
  4. Step 4: Simplify right side
    9,746.50x = 70,885,456.78
  5. Step 5: Solve for x
    x = 70,885,456.78/9,746.50
  6. Step 6: Final answer
    x = 7,272.92

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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.