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Finding the Fourth Proportional to 10,300.91, 15,413.08 and 6,143.18

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Solution

The fourth proportional to 10,300.91, 15,413.08 and 6,143.18 is: 9,191.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,300.91 : 15,413.08 = 6,143.18 : x
  2. Step 2: Convert to fraction form
    10,300.91/15,413.08 = 6,143.18/x
  3. Step 3: Cross multiply
    10,300.91x = 15,413.08 × 6,143.18
  4. Step 4: Simplify right side
    10,300.91x = 94,685,263.09
  5. Step 5: Solve for x
    x = 94,685,263.09/10,300.91
  6. Step 6: Final answer
    x = 9,191.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.