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Finding the Fourth Proportional to 12,407.01, 17,121.93 and 6,742.00

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Solution

The fourth proportional to 12,407.01, 17,121.93 and 6,742.00 is: 9,304.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,407.01 : 17,121.93 = 6,742.00 : x
  2. Step 2: Convert to fraction form
    12,407.01/17,121.93 = 6,742.00/x
  3. Step 3: Cross multiply
    12,407.01x = 17,121.93 × 6,742.00
  4. Step 4: Simplify right side
    12,407.01x = 115,436,013.87
  5. Step 5: Solve for x
    x = 115,436,013.87/12,407.01
  6. Step 6: Final answer
    x = 9,304.10

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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.