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Finding the Fourth Proportional to 15,047.28, 20,734.92 and 12,413.16

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Solution

The fourth proportional to 15,047.28, 20,734.92 and 12,413.16 is: 17,105.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,047.28 : 20,734.92 = 12,413.16 : x
  2. Step 2: Convert to fraction form
    15,047.28/20,734.92 = 12,413.16/x
  3. Step 3: Cross multiply
    15,047.28x = 20,734.92 × 12,413.16
  4. Step 4: Simplify right side
    15,047.28x = 257,385,879.55
  5. Step 5: Solve for x
    x = 257,385,879.55/15,047.28
  6. Step 6: Final answer
    x = 17,105.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.