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Finding the Fourth Proportional to 13,958.50, 19,262.74 and 7,670.92

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Solution

The fourth proportional to 13,958.50, 19,262.74 and 7,670.92 is: 10,585.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,958.50 : 19,262.74 = 7,670.92 : x
  2. Step 2: Convert to fraction form
    13,958.50/19,262.74 = 7,670.92/x
  3. Step 3: Cross multiply
    13,958.50x = 19,262.74 × 7,670.92
  4. Step 4: Simplify right side
    13,958.50x = 147,762,937.52
  5. Step 5: Solve for x
    x = 147,762,937.52/13,958.50
  6. Step 6: Final answer
    x = 10,585.88

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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.