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Finding the Fourth Proportional to 13,337.83, 20,000.13 and 7,792.57

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Solution

The fourth proportional to 13,337.83, 20,000.13 and 7,792.57 is: 11,684.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,337.83 : 20,000.13 = 7,792.57 : x
  2. Step 2: Convert to fraction form
    13,337.83/20,000.13 = 7,792.57/x
  3. Step 3: Cross multiply
    13,337.83x = 20,000.13 × 7,792.57
  4. Step 4: Simplify right side
    13,337.83x = 155,852,413.03
  5. Step 5: Solve for x
    x = 155,852,413.03/13,337.83
  6. Step 6: Final answer
    x = 11,684.99

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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.