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Finding the Fourth Proportional to 11,810.16, 17,670.88 and 7,229.60

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Solution

The fourth proportional to 11,810.16, 17,670.88 and 7,229.60 is: 10,817.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,810.16 : 17,670.88 = 7,229.60 : x
  2. Step 2: Convert to fraction form
    11,810.16/17,670.88 = 7,229.60/x
  3. Step 3: Cross multiply
    11,810.16x = 17,670.88 × 7,229.60
  4. Step 4: Simplify right side
    11,810.16x = 127,753,394.05
  5. Step 5: Solve for x
    x = 127,753,394.05/11,810.16
  6. Step 6: Final answer
    x = 10,817.24

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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.