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Finding the Fourth Proportional to 12,707.32, 17,534.46 and 7,118.32

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Solution

The fourth proportional to 12,707.32, 17,534.46 and 7,118.32 is: 9,822.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,707.32 : 17,534.46 = 7,118.32 : x
  2. Step 2: Convert to fraction form
    12,707.32/17,534.46 = 7,118.32/x
  3. Step 3: Cross multiply
    12,707.32x = 17,534.46 × 7,118.32
  4. Step 4: Simplify right side
    12,707.32x = 124,815,897.31
  5. Step 5: Solve for x
    x = 124,815,897.31/12,707.32
  6. Step 6: Final answer
    x = 9,822.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.