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Finding the Fourth Proportional to 9,710.25, 13,400.16 and 5,518.50

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Solution

The fourth proportional to 9,710.25, 13,400.16 and 5,518.50 is: 7,615.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,710.25 : 13,400.16 = 5,518.50 : x
  2. Step 2: Convert to fraction form
    9,710.25/13,400.16 = 5,518.50/x
  3. Step 3: Cross multiply
    9,710.25x = 13,400.16 × 5,518.50
  4. Step 4: Simplify right side
    9,710.25x = 73,948,782.96
  5. Step 5: Solve for x
    x = 73,948,782.96/9,710.25
  6. Step 6: Final answer
    x = 7,615.54

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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.