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Finding the Fourth Proportional to 12,952.57, 19,422.16 and 4,186.34

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Solution

The fourth proportional to 12,952.57, 19,422.16 and 4,186.34 is: 6,277.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,952.57 : 19,422.16 = 4,186.34 : x
  2. Step 2: Convert to fraction form
    12,952.57/19,422.16 = 4,186.34/x
  3. Step 3: Cross multiply
    12,952.57x = 19,422.16 × 4,186.34
  4. Step 4: Simplify right side
    12,952.57x = 81,307,765.29
  5. Step 5: Solve for x
    x = 81,307,765.29/12,952.57
  6. Step 6: Final answer
    x = 6,277.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.