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Finding the Fourth Proportional to 12,126.61, 16,734.62 and 6,821.31

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Solution

The fourth proportional to 12,126.61, 16,734.62 and 6,821.31 is: 9,413.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,126.61 : 16,734.62 = 6,821.31 : x
  2. Step 2: Convert to fraction form
    12,126.61/16,734.62 = 6,821.31/x
  3. Step 3: Cross multiply
    12,126.61x = 16,734.62 × 6,821.31
  4. Step 4: Simplify right side
    12,126.61x = 114,152,030.75
  5. Step 5: Solve for x
    x = 114,152,030.75/12,126.61
  6. Step 6: Final answer
    x = 9,413.35

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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.