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Finding the Fourth Proportional to 39,672, 59,507.64 and 11,970

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Solution

The fourth proportional to 39,672, 59,507.64 and 11,970 is: 17,954.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,672 : 59,507.64 = 11,970 : x
  2. Step 2: Convert to fraction form
    39,672/59,507.64 = 11,970/x
  3. Step 3: Cross multiply
    39,672x = 59,507.64 × 11,970
  4. Step 4: Simplify right side
    39,672x = 712,306,450.80
  5. Step 5: Solve for x
    x = 712,306,450.80/39,672
  6. Step 6: Final answer
    x = 17,954.89

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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.