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Finding the Fourth Proportional to 14,211.94, 19,612.21 and 7,839.13

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Solution

The fourth proportional to 14,211.94, 19,612.21 and 7,839.13 is: 10,817.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,211.94 : 19,612.21 = 7,839.13 : x
  2. Step 2: Convert to fraction form
    14,211.94/19,612.21 = 7,839.13/x
  3. Step 3: Cross multiply
    14,211.94x = 19,612.21 × 7,839.13
  4. Step 4: Simplify right side
    14,211.94x = 153,742,663.78
  5. Step 5: Solve for x
    x = 153,742,663.78/14,211.94
  6. Step 6: Final answer
    x = 10,817.85

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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.