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Finding the Fourth Proportional to 22,038.80, 30,413.22 and 12,605.54

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Solution

The fourth proportional to 22,038.80, 30,413.22 and 12,605.54 is: 17,395.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,038.80 : 30,413.22 = 12,605.54 : x
  2. Step 2: Convert to fraction form
    22,038.80/30,413.22 = 12,605.54/x
  3. Step 3: Cross multiply
    22,038.80x = 30,413.22 × 12,605.54
  4. Step 4: Simplify right side
    22,038.80x = 383,375,061.24
  5. Step 5: Solve for x
    x = 383,375,061.24/22,038.80
  6. Step 6: Final answer
    x = 17,395.46

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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.