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Finding the Fourth Proportional to 9,710.50, 13,400.42 and 5,518.74

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Solution

The fourth proportional to 9,710.50, 13,400.42 and 5,518.74 is: 7,615.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,710.50 : 13,400.42 = 5,518.74 : x
  2. Step 2: Convert to fraction form
    9,710.50/13,400.42 = 5,518.74/x
  3. Step 3: Cross multiply
    9,710.50x = 13,400.42 × 5,518.74
  4. Step 4: Simplify right side
    9,710.50x = 73,953,433.87
  5. Step 5: Solve for x
    x = 73,953,433.87/9,710.50
  6. Step 6: Final answer
    x = 7,615.82

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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.