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Finding the Fourth Proportional to 11,852.32, 17,739.90 and 8,731.10

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Solution

The fourth proportional to 11,852.32, 17,739.90 and 8,731.10 is: 13,068.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,852.32 : 17,739.90 = 8,731.10 : x
  2. Step 2: Convert to fraction form
    11,852.32/17,739.90 = 8,731.10/x
  3. Step 3: Cross multiply
    11,852.32x = 17,739.90 × 8,731.10
  4. Step 4: Simplify right side
    11,852.32x = 154,888,840.89
  5. Step 5: Solve for x
    x = 154,888,840.89/11,852.32
  6. Step 6: Final answer
    x = 13,068.23

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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.