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Finding the Fourth Proportional to 12,852.63, 17,731.04 and 7,538.22

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Solution

The fourth proportional to 12,852.63, 17,731.04 and 7,538.22 is: 10,399.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,852.63 : 17,731.04 = 7,538.22 : x
  2. Step 2: Convert to fraction form
    12,852.63/17,731.04 = 7,538.22/x
  3. Step 3: Cross multiply
    12,852.63x = 17,731.04 × 7,538.22
  4. Step 4: Simplify right side
    12,852.63x = 133,660,442.66
  5. Step 5: Solve for x
    x = 133,660,442.66/12,852.63
  6. Step 6: Final answer
    x = 10,399.46

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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.