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Finding the Fourth Proportional to 10,825.50, 14,946.08 and 8,840.80

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Solution

The fourth proportional to 10,825.50, 14,946.08 and 8,840.80 is: 12,205.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,825.50 : 14,946.08 = 8,840.80 : x
  2. Step 2: Convert to fraction form
    10,825.50/14,946.08 = 8,840.80/x
  3. Step 3: Cross multiply
    10,825.50x = 14,946.08 × 8,840.80
  4. Step 4: Simplify right side
    10,825.50x = 132,135,304.06
  5. Step 5: Solve for x
    x = 132,135,304.06/10,825.50
  6. Step 6: Final answer
    x = 12,205.93

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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.