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Finding the Fourth Proportional to 7,413.09, 10,212.50 and 5,171.01

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Solution

The fourth proportional to 7,413.09, 10,212.50 and 5,171.01 is: 7,123.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,413.09 : 10,212.50 = 5,171.01 : x
  2. Step 2: Convert to fraction form
    7,413.09/10,212.50 = 5,171.01/x
  3. Step 3: Cross multiply
    7,413.09x = 10,212.50 × 5,171.01
  4. Step 4: Simplify right side
    7,413.09x = 52,808,939.63
  5. Step 5: Solve for x
    x = 52,808,939.63/7,413.09
  6. Step 6: Final answer
    x = 7,123.74

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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.