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Finding the Fourth Proportional to 10,281.77, 15,413.65 and 4,942.28

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Solution

The fourth proportional to 10,281.77, 15,413.65 and 4,942.28 is: 7,409.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,281.77 : 15,413.65 = 4,942.28 : x
  2. Step 2: Convert to fraction form
    10,281.77/15,413.65 = 4,942.28/x
  3. Step 3: Cross multiply
    10,281.77x = 15,413.65 × 4,942.28
  4. Step 4: Simplify right side
    10,281.77x = 76,178,600.30
  5. Step 5: Solve for x
    x = 76,178,600.30/10,281.77
  6. Step 6: Final answer
    x = 7,409.09

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Why These Related Problems?

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