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Finding the Fourth Proportional to 14,211.76, 19,612.32 and 7,924.18

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Solution

The fourth proportional to 14,211.76, 19,612.32 and 7,924.18 is: 10,935.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,211.76 : 19,612.32 = 7,924.18 : x
  2. Step 2: Convert to fraction form
    14,211.76/19,612.32 = 7,924.18/x
  3. Step 3: Cross multiply
    14,211.76x = 19,612.32 × 7,924.18
  4. Step 4: Simplify right side
    14,211.76x = 155,411,553.90
  5. Step 5: Solve for x
    x = 155,411,553.90/14,211.76
  6. Step 6: Final answer
    x = 10,935.42

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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.