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Finding the Fourth Proportional to 12,970.89, 19,456.32 and 3,736.89

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Solution

The fourth proportional to 12,970.89, 19,456.32 and 3,736.89 is: 5,605.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,970.89 : 19,456.32 = 3,736.89 : x
  2. Step 2: Convert to fraction form
    12,970.89/19,456.32 = 3,736.89/x
  3. Step 3: Cross multiply
    12,970.89x = 19,456.32 × 3,736.89
  4. Step 4: Simplify right side
    12,970.89x = 72,706,127.64
  5. Step 5: Solve for x
    x = 72,706,127.64/12,970.89
  6. Step 6: Final answer
    x = 5,605.33

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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.