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Finding the Fourth Proportional to 19,264.50, 28,896.75 and 5,413.50

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Solution

The fourth proportional to 19,264.50, 28,896.75 and 5,413.50 is: 8,120.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,264.50 : 28,896.75 = 5,413.50 : x
  2. Step 2: Convert to fraction form
    19,264.50/28,896.75 = 5,413.50/x
  3. Step 3: Cross multiply
    19,264.50x = 28,896.75 × 5,413.50
  4. Step 4: Simplify right side
    19,264.50x = 156,432,556.13
  5. Step 5: Solve for x
    x = 156,432,556.13/19,264.50
  6. Step 6: Final answer
    x = 8,120.25

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1.5x scale

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.