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Finding the Fourth Proportional to 14,700.96, 20,286 and 8,413.92

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Solution

The fourth proportional to 14,700.96, 20,286 and 8,413.92 is: 11,610.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,700.96 : 20,286 = 8,413.92 : x
  2. Step 2: Convert to fraction form
    14,700.96/20,286 = 8,413.92/x
  3. Step 3: Cross multiply
    14,700.96x = 20,286 × 8,413.92
  4. Step 4: Simplify right side
    14,700.96x = 170,684,781.12
  5. Step 5: Solve for x
    x = 170,684,781.12/14,700.96
  6. Step 6: Final answer
    x = 11,610.45

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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.