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Finding the Fourth Proportional to 12,968.12, 17,894.22 and 7,303.16

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Solution

The fourth proportional to 12,968.12, 17,894.22 and 7,303.16 is: 10,077.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,968.12 : 17,894.22 = 7,303.16 : x
  2. Step 2: Convert to fraction form
    12,968.12/17,894.22 = 7,303.16/x
  3. Step 3: Cross multiply
    12,968.12x = 17,894.22 × 7,303.16
  4. Step 4: Simplify right side
    12,968.12x = 130,684,351.74
  5. Step 5: Solve for x
    x = 130,684,351.74/12,968.12
  6. Step 6: Final answer
    x = 10,077.36

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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.