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Finding the Fourth Proportional to 12,010.36, 17,990.42 and 9,657.64

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Solution

The fourth proportional to 12,010.36, 17,990.42 and 9,657.64 is: 14,466.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,010.36 : 17,990.42 = 9,657.64 : x
  2. Step 2: Convert to fraction form
    12,010.36/17,990.42 = 9,657.64/x
  3. Step 3: Cross multiply
    12,010.36x = 17,990.42 × 9,657.64
  4. Step 4: Simplify right side
    12,010.36x = 173,744,999.81
  5. Step 5: Solve for x
    x = 173,744,999.81/12,010.36
  6. Step 6: Final answer
    x = 14,466.26

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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.