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Finding the Fourth Proportional to 12,957, 19,433.40 and 4,635.45

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Solution

The fourth proportional to 12,957, 19,433.40 and 4,635.45 is: 6,952.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,957 : 19,433.40 = 4,635.45 : x
  2. Step 2: Convert to fraction form
    12,957/19,433.40 = 4,635.45/x
  3. Step 3: Cross multiply
    12,957x = 19,433.40 × 4,635.45
  4. Step 4: Simplify right side
    12,957x = 90,082,554.03
  5. Step 5: Solve for x
    x = 90,082,554.03/12,957
  6. Step 6: Final answer
    x = 6,952.42

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Why These Related Problems?

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