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Finding the Fourth Proportional to 12,126.99, 16,735.08 and 6,821.80

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Solution

The fourth proportional to 12,126.99, 16,735.08 and 6,821.80 is: 9,413.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,126.99 : 16,735.08 = 6,821.80 : x
  2. Step 2: Convert to fraction form
    12,126.99/16,735.08 = 6,821.80/x
  3. Step 3: Cross multiply
    12,126.99x = 16,735.08 × 6,821.80
  4. Step 4: Simplify right side
    12,126.99x = 114,163,368.74
  5. Step 5: Solve for x
    x = 114,163,368.74/12,126.99
  6. Step 6: Final answer
    x = 9,413.99

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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.